40804400808400 has 120 divisors (see below), whose sum is σ = 99025402203000. Its totient is φ = 16156533504000.

The previous prime is 40804400808371. The next prime is 40804400808419. The reversal of 40804400808400 is 480800440804.

It can be written as a sum of positive squares in 12 ways, for example, as 6513398162496 + 34291002645904 = 2552136^2 + 5855852^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183668586 + ... + 183890614.

It is an arithmetic number, because the mean of its divisors is an integer number (825211685025).

Almost surely, 2^{40804400808400} is an apocalyptic number.

40804400808400 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 40804400808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49512701101500).

40804400808400 is an abundant number, since it is smaller than the sum of its proper divisors (58221001394600).

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

40804400808400 is a wasteful number, since it uses less digits than its factorization.

40804400808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226697 (or 226686 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 40804400808400 in words is "forty trillion, eight hundred four billion, four hundred million, eight hundred eight thousand, four hundred".