400040004400 has 60 divisors (see below), whose sum is σ = 961408232800. Its totient is φ = 159964035840.

The previous prime is 400040004391. The next prime is 400040004461. The reversal of 400040004400 is 4400040004.

It is a super-3 number, since 3×400040004400³ (a number of 36 digits) contains 333 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1082761 + ... + 1404439.

Almost surely, 2^400040004400 is an apocalyptic number.

400040004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400040004400 is an abundant number, since it is smaller than the sum of its proper divisors (561368228400).

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

400040004400 is a wasteful number, since it uses less digits than its factorization.

400040004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324806 (or 324795 counting only the distinct ones).

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

Adding to 400040004400 its reverse (4400040004), we get a palindrome (404440044404).

The spelling of 400040004400 in words is "four hundred billion, forty million, four thousand, four hundred".