40404010400 has 72 divisors (see below), whose sum is σ = 106223724684. Its totient is φ = 14918400000.

The previous prime is 40404010343. The next prime is 40404010417. The reversal of 40404010400 is 401040404.

It can be written as a sum of positive squares in 6 ways, for example, as 10835144464 + 29568865936 = 104092^2 + 171956^2 .

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, 1932101 + ... + 1952900.

Almost surely, 2^40404010400 is an apocalyptic number.

40404010400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40404010400 is an abundant number, since it is smaller than the sum of its proper divisors (65819714284).

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

40404010400 is a wasteful number, since it uses less digits than its factorization.

40404010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885034 (or 3885021 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 40404010400 its reverse (401040404), we get a palindrome (40805050804).

The spelling of 40404010400 in words is "forty billion, four hundred four million, ten thousand, four hundred".