4004661356400 has 120 divisors (see below), whose sum is σ = 13242080341504. Its totient is φ = 1033460985600.

The previous prime is 4004661356387. The next prime is 4004661356401. The reversal of 4004661356400 is 46531664004.

4004661356400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004661356401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53788894 + ... + 53863293.

Almost surely, 2^{4004661356400} is an apocalyptic number.

4004661356400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004661356400 is an abundant number, since it is smaller than the sum of its proper divisors (9237418985104).

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

4004661356400 is a wasteful number, since it uses less digits than its factorization.

4004661356400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107652239 (or 107652228 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 4004661356400 in words is "four trillion, four billion, six hundred sixty-one million, three hundred fifty-six thousand, four hundred".