400004400400 has 120 divisors (see below), whose sum is σ = 1066144932000. Its totient is φ = 142990694400.

The previous prime is 400004400391. The next prime is 400004400409. The reversal of 400004400400 is 4004400004.

It is an interprime number because it is at equal distance from previous prime (400004400391) and next prime (400004400409).

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

It is not an unprimeable number, because it can be changed into a prime (400004400409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510825 + ... + 1030024.

It is an arithmetic number, because the mean of its divisors is an integer number (8884541100).

Almost surely, 2^400004400400 is an apocalyptic number.

400004400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400004400400 is an abundant number, since it is smaller than the sum of its proper divisors (666140531600).

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

400004400400 is a wasteful number, since it uses less digits than its factorization.

400004400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540937 (or 1540926 counting only the distinct ones).

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

Adding to 400004400400 its reverse (4004400004), we get a palindrome (404008800404).

The spelling of 400004400400 in words is "four hundred billion, four million, four hundred thousand, four hundred".