4496004288072 has 96 divisors (see below), whose sum is σ = 13727469554400. Its totient is φ = 1362425533920.

The previous prime is 4496004288053. The next prime is 4496004288091. The reversal of 4496004288072 is 2708824006944.

4496004288072 is a `hidden beast` number, since 4 + 4 + 9 + 600 + 4 + 28 + 8 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4496004288053) and next prime (4496004288091).

It is a super-2 number, since 2×4496004288072² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85985578 + ... + 86037849.

It is an arithmetic number, because the mean of its divisors is an integer number (142994474525).

Almost surely, 2^{4496004288072} is an apocalyptic number.

It is an amenable number.

4496004288072 is an abundant number, since it is smaller than the sum of its proper divisors (9231465266328).

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

4496004288072 is a wasteful number, since it uses less digits than its factorization.

4496004288072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172023464 (or 172023443 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 4496004288072 in words is "four trillion, four hundred ninety-six billion, four million, two hundred eighty-eight thousand, seventy-two".