4004772336400 has 120 divisors (see below), whose sum is σ = 10834729890048. Its totient is φ = 1409304000000.

The previous prime is 4004772336377. The next prime is 4004772336407. The reversal of 4004772336400 is 46332774004.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4004772336407) by changing a digit.

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, 14543851 + ... + 14816650.

Almost surely, 2^{4004772336400} is an apocalyptic number.

4004772336400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004772336400 is an abundant number, since it is smaller than the sum of its proper divisors (6829957553648).

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

4004772336400 is a wasteful number, since it uses less digits than its factorization.

4004772336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29360561 (or 29360550 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 40.

The spelling of 4004772336400 in words is "four trillion, four billion, seven hundred seventy-two million, three hundred thirty-six thousand, four hundred".