4040004000400 has 60 divisors (see below), whose sum is σ = 9723350134512. Its totient is φ = 1613131169920.

The previous prime is 4040004000391. The next prime is 4040004000437. The reversal of 4040004000400 is 40004000404.

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

4040004000400 is a modest number, since divided by 4000400 gives 40400 as remainder.

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, 8744614 + ... + 9195013.

Almost surely, 2^{4040004000400} is an apocalyptic number.

4040004000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040004000400 is an abundant number, since it is smaller than the sum of its proper divisors (5683346134112).

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

4040004000400 is a wasteful number, since it uses less digits than its factorization.

4040004000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17940208 (or 17940197 counting only the distinct ones).

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

Adding to 4040004000400 its reverse (40004000404), we get a palindrome (4080008000804).

The spelling of 4040004000400 in words is "four trillion, forty billion, four million, four hundred", and thus it is an aban number.