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4080426440 = 2352917320333
BaseRepresentation
bin1111001100110110…
…0101110111001000
3101112101001010210012
43303031211313020
531324042121230
61512521411052
7203055023666
oct36315456710
911471033705
104080426440
111804326862
1295a639a88
135004a0c1c
142a9ccbc36
1518d360395
hexf3365dc8

4080426440 has 64 divisors (see below), whose sum is σ = 9552913200. Its totient is φ = 1566702592.

The previous prime is 4080426439. The next prime is 4080426443. The reversal of 4080426440 is 446240804.

It can be written as a sum of positive squares in 8 ways, for example, as 3717828676 + 362597764 = 60974^2 + 19042^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4080426397 and 4080426406.

It is not an unprimeable number, because it can be changed into a prime (4080426443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190514 + ... + 210846.

Almost surely, 24080426440 is an apocalyptic number.

4080426440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4080426440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776456600).

4080426440 is an abundant number, since it is smaller than the sum of its proper divisors (5472486760).

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

4080426440 is a wasteful number, since it uses less digits than its factorization.

4080426440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20546 (or 20542 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 4080426440 is about 63878.2156920495. The cubic root of 4080426440 is about 1597.9696172644.

The spelling of 4080426440 in words is "four billion, eighty million, four hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 173 232 290 346 580 692 865 1160 1384 1730 3460 5017 6920 10034 20068 20333 25085 40136 40666 50170 81332 100340 101665 162664 200680 203330 406660 589657 813320 1179314 2358628 2948285 3517609 4717256 5896570 7035218 11793140 14070436 17588045 23586280 28140872 35176090 70352180 102010661 140704360 204021322 408042644 510053305 816085288 1020106610 2040213220 4080426440