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40044004400 = 2452421237791
BaseRepresentation
bin100101010010110011…
…110000010000110000
310211100201212012012002
4211102303300100300
51124002231120100
630221305553132
72615220264341
oct452263602060
9124321765162
1040044004400
1115a89884214
1279167a57a8
133a1221b97a
141d1c3840c8
1510957ca2d5
hex952cf0430

40044004400 has 60 divisors (see below), whose sum is σ = 96434643264. Its totient is φ = 15979488000.

The previous prime is 40044004397. The next prime is 40044004453. The reversal of 40044004400 is 440044004.

It is a Harshad number since it is a multiple of its sum of digits (20).

40044004400 is a modest number, since divided by 44004400 gives 400 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49505 + ... + 287295.

Almost surely, 240044004400 is an apocalyptic number.

40044004400 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 40044004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48217321632).

40044004400 is an abundant number, since it is smaller than the sum of its proper divisors (56390638864).

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

40044004400 is a wasteful number, since it uses less digits than its factorization.

40044004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238230 (or 238219 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 40044004400 its reverse (440044004), we get a palindrome (40484048404).

The spelling of 40044004400 in words is "forty billion, forty-four million, four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 421 842 1684 2105 3368 4210 6736 8420 10525 16840 21050 33680 42100 84200 168400 237791 475582 951164 1188955 1902328 2377910 3804656 4755820 5944775 9511640 11889550 19023280 23779100 47558200 95116400 100110011 200220022 400440044 500550055 800880088 1001100110 1601760176 2002200220 2502750275 4004400440 5005500550 8008800880 10011001100 20022002200 40044004400