4160002984560 has 120 divisors (see below), whose sum is σ = 13972327035264. Its totient is φ = 1109203084800.

The previous prime is 4160002984483. The next prime is 4160002984597. The reversal of 4160002984560 is 654892000614.

4160002984560 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 0 + 0 + 2 + 9 + 84 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 5835585 + ... + 6509535.

Almost surely, 2^{4160002984560} is an apocalyptic number.

4160002984560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4160002984560 is an abundant number, since it is smaller than the sum of its proper divisors (9812324050704).

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

4160002984560 is a wasteful number, since it uses less digits than its factorization.

4160002984560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682543 (or 682534 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4160002984560 in words is "four trillion, one hundred sixty billion, two million, nine hundred eighty-four thousand, five hundred sixty".