4004033400004 has 36 divisors (see below), whose sum is σ = 7745001289200. Its totient is φ = 1809847460080.

The previous prime is 4004033400001. The next prime is 4004033400013. The reversal of 4004033400004 is 4000043304004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4004033400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23021734 + ... + 23195005.

It is an arithmetic number, because the mean of its divisors is an integer number (215138924700).

Almost surely, 2^{4004033400004} is an apocalyptic number.

4004033400004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4004033400004 is a deficient number, since it is larger than the sum of its proper divisors (3740967889196).

4004033400004 is a wasteful number, since it uses less digits than its factorization.

4004033400004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46216944 (or 46216931 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 4004033400004 its reverse (4000043304004), we get a palindrome (8004076704008).

The spelling of 4004033400004 in words is "four trillion, four billion, thirty-three million, four hundred thousand, four".