4004624456224 has 96 divisors (see below), whose sum is σ = 9168778838016. Its totient is φ = 1686235034880.

The previous prime is 4004624456219. The next prime is 4004624456233. The reversal of 4004624456224 is 4226544264004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5399719 + ... + 6096409.

It is an arithmetic number, because the mean of its divisors is an integer number (95508112896).

Almost surely, 2^{4004624456224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004624456224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584389419008).

4004624456224 is an abundant number, since it is smaller than the sum of its proper divisors (5164154381792).

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

4004624456224 is a wasteful number, since it uses less digits than its factorization.

4004624456224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697158 (or 697150 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 43.

The spelling of 4004624456224 in words is "four trillion, four billion, six hundred twenty-four million, four hundred fifty-six thousand, two hundred twenty-four".