4004404040400 has 120 divisors (see below), whose sum is σ = 12880667769024. Its totient is φ = 1063410124800.

The previous prime is 4004404040323. The next prime is 4004404040453. The reversal of 4004404040400 is 40404044004.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6634044 + ... + 7212443.

Almost surely, 2^{4004404040400} is an apocalyptic number.

4004404040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004404040400 is an abundant number, since it is smaller than the sum of its proper divisors (8876263728624).

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

4004404040400 is a wasteful number, since it uses less digits than its factorization.

4004404040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13846749 (or 13846738 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4004404040400 its reverse (40404044004), we get a palindrome (4044808084404).

The spelling of 4004404040400 in words is "four trillion, four billion, four hundred four million, forty thousand, four hundred".