4000400404400 has 30 divisors (see below), whose sum is σ = 9610961972532. Its totient is φ = 1600160161600.

The previous prime is 4000400404381. The next prime is 4000400404489. The reversal of 4000400404400 is 44040040004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5000500106 + ... + 5000500905.

Almost surely, 2^{4000400404400} is an apocalyptic number.

4000400404400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000400404400 is an abundant number, since it is smaller than the sum of its proper divisors (5610561568132).

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

4000400404400 is a wasteful number, since it uses less digits than its factorization.

4000400404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001001029 (or 10001001018 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4000400404400 its reverse (44040040004), we get a palindrome (4044440444404).

The spelling of 4000400404400 in words is "four trillion, four hundred million, four hundred four thousand, four hundred".