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40420369980 = 22335421177797
BaseRepresentation
bin100101101001001111…
…011110011000111100
310212022222001112201000
4211221033132120330
51130240103314410
630322512450300
72630440322154
oct455117363074
9125288045630
1040420369980
1116162277251
127a00849990
133a721a67b3
141d56355764
1510b8870dc0
hex9693de63c

40420369980 has 96 divisors (see below), whose sum is σ = 126051670080. Its totient is φ = 10753102080.

The previous prime is 40420369949. The next prime is 40420369981. The reversal of 40420369980 is 8996302404.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40420369981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138442 + ... + 316238.

It is an arithmetic number, because the mean of its divisors is an integer number (1313038230).

Almost surely, 240420369980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40420369980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63025835040).

40420369980 is an abundant number, since it is smaller than the sum of its proper divisors (85631300100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40420369980 is a wasteful number, since it uses less digits than its factorization.

40420369980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178236 (or 178228 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 40420369980 in words is "forty billion, four hundred twenty million, three hundred sixty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 421 540 842 1263 1684 2105 2526 3789 4210 5052 6315 7578 8420 11367 12630 15156 18945 22734 25260 37890 45468 56835 75780 113670 177797 227340 355594 533391 711188 888985 1066782 1600173 1777970 2133564 2666955 3200346 3555940 4800519 5333910 6400692 8000865 9601038 10667820 16001730 19202076 24002595 32003460 48005190 74852537 96010380 149705074 224557611 299410148 374262685 449115222 673672833 748525370 898230444 1122788055 1347345666 1497050740 2021018499 2245576110 2694691332 3368364165 4042036998 4491152220 6736728330 8084073996 10105092495 13473456660 20210184990 40420369980