4004646912 has 312 divisors, whose sum is σ = 13819855200. Its totient is φ = 1142636544.

The previous prime is 4004646881. The next prime is 4004646913. The reversal of 4004646912 is 2196464004.

4004646912 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 646 + 9 + 1 + 2 = 666.

It is a super-2 number, since 2×4004646912² = 32074393779582271488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (4004646913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5418639 + ... + 5419377.

Almost surely, 2^4004646912 is an apocalyptic number.

4004646912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004646912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909927600).

4004646912 is an abundant number, since it is smaller than the sum of its proper divisors (9815208288).

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

4004646912 is an equidigital number, since it uses as much as digits as its factorization.

4004646912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4004646912 is about 63282.2796049573. The cubic root of 4004646912 is about 1588.0155234964.

The spelling of 4004646912 in words is "four billion, four million, six hundred forty-six thousand, nine hundred twelve".