4004845253328 has 40 divisors (see below), whose sum is σ = 10346037811200. Its totient is φ = 1334924214784.

The previous prime is 4004845253273. The next prime is 4004845253347. The reversal of 4004845253328 is 8233525484004.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2024113 + ... + 3479471.

It is an arithmetic number, because the mean of its divisors is an integer number (258650945280).

Almost surely, 2^{4004845253328} is an apocalyptic number.

4004845253328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4004845253328 is an abundant number, since it is smaller than the sum of its proper divisors (6341192557872).

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

4004845253328 is a wasteful number, since it uses less digits than its factorization.

4004845253328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512699 (or 1512693 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 4004845253328 in words is "four trillion, four billion, eight hundred forty-five million, two hundred fifty-three thousand, three hundred twenty-eight".