40400004400 has 120 divisors (see below), whose sum is σ = 114752164320. Its totient is φ = 13373767680.

The previous prime is 40400004389. The next prime is 40400004439. The reversal of 40400004400 is 440000404.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167569 + ... + 329968.

It is an arithmetic number, because the mean of its divisors is an integer number (956268036).

Almost surely, 2^40400004400 is an apocalyptic number.

40400004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40400004400 is an abundant number, since it is smaller than the sum of its proper divisors (74352159920).

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

40400004400 is a wasteful number, since it uses less digits than its factorization.

40400004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497591 (or 497580 counting only the distinct ones).

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

Adding to 40400004400 its reverse (440000404), we get a palindrome (40840004804).

It can be divided in two parts, 40400004 and 400, that added together give a palindrome (40400404).

The spelling of 40400004400 in words is "forty billion, four hundred million, four thousand, four hundred".