40004040400 has 60 divisors (see below), whose sum is σ = 97189677900. Its totient is φ = 15821808640.

The previous prime is 40004040389. The next prime is 40004040413. The reversal of 40004040400 is 404040004.

It can be written as a sum of positive squares in 6 ways, for example, as 280361536 + 39723678864 = 16744^2 + 199308^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 526255 + ... + 597454.

It is an arithmetic number, because the mean of its divisors is an integer number (1619827965).

Almost surely, 2^40004040400 is an apocalyptic number.

40004040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40004040400 is an abundant number, since it is smaller than the sum of its proper divisors (57185637500).

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

40004040400 is a wasteful number, since it uses less digits than its factorization.

40004040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123816 (or 1123805 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 40004040400 its reverse (404040004), we get a palindrome (40408080404).

The spelling of 40004040400 in words is "forty billion, four million, forty thousand, four hundred".