4002620644224 has 48 divisors (see below), whose sum is σ = 11517957846720. Its totient is φ = 1334206881024.

The previous prime is 4002620644219. The next prime is 4002620644291. The reversal of 4002620644224 is 4224460262004.

4002620644224 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 6 + 2 + 0 + 644 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1737247392 + ... + 1737249695.

It is an arithmetic number, because the mean of its divisors is an integer number (239957455140).

Almost surely, 2^{4002620644224} is an apocalyptic number.

It is an amenable number.

4002620644224 is an abundant number, since it is smaller than the sum of its proper divisors (7515337202496).

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

4002620644224 is a wasteful number, since it uses less digits than its factorization.

4002620644224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474497107 (or 3474497092 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 4002620644224 in words is "four trillion, two billion, six hundred twenty million, six hundred forty-four thousand, two hundred twenty-four".