4159731612816 has 160 divisors (see below), whose sum is σ = 13273218237440. Its totient is φ = 1238629708800.

The previous prime is 4159731612793. The next prime is 4159731612821. The reversal of 4159731612816 is 6182161379514.

4159731612816 is a `hidden beast` number, since 4 + 1 + 5 + 9 + 7 + 3 + 1 + 612 + 8 + 16 = 666.

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 31 ways as a sum of consecutive naturals, for example, 11772565 + ... + 12120756.

It is an arithmetic number, because the mean of its divisors is an integer number (82957613984).

Almost surely, 2^{4159731612816} is an apocalyptic number.

It is an amenable number.

4159731612816 is an abundant number, since it is smaller than the sum of its proper divisors (9113486624624).

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

4159731612816 is a wasteful number, since it uses less digits than its factorization.

4159731612816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23893382 (or 23893370 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 4159731612816 in words is "four trillion, one hundred fifty-nine billion, seven hundred thirty-one million, six hundred twelve thousand, eight hundred sixteen".