4179492457164 has 96 divisors (see below), whose sum is σ = 10889067732480. Its totient is φ = 1386307742400.

The previous prime is 4179492457157. The next prime is 4179492457243. The reversal of 4179492457164 is 4617542949714.

It is a happy number.

4179492457164 is a `hidden beast` number, since 4 + 1 + 7 + 94 + 92 + 457 + 1 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156563002 + ... + 156589694.

It is an arithmetic number, because the mean of its divisors is an integer number (113427788880).

Almost surely, 2^{4179492457164} 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 4179492457164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444533866240).

4179492457164 is an abundant number, since it is smaller than the sum of its proper divisors (6709575275316).

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

4179492457164 is a wasteful number, since it uses less digits than its factorization.

4179492457164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33788 (or 33780 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 4179492457164 in words is "four trillion, one hundred seventy-nine billion, four hundred ninety-two million, four hundred fifty-seven thousand, one hundred sixty-four".