3157142304960 has 896 divisors, whose sum is σ = 13173258977280. Its totient is φ = 696555417600.

The previous prime is 3157142304959. The next prime is 3157142304971. The reversal of 3157142304960 is 694032417513.

3157142304960 is a `hidden beast` number, since 3 + 1 + 571 + 4 + 2 + 30 + 49 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 808071327 + ... + 808075233.

Almost surely, 2^{3157142304960} is an apocalyptic number.

3157142304960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3157142304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586629488640).

3157142304960 is an abundant number, since it is smaller than the sum of its proper divisors (10016116672320).

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

3157142304960 is a wasteful number, since it uses less digits than its factorization.

3157142304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3157142304960 in words is "three trillion, one hundred fifty-seven billion, one hundred forty-two million, three hundred four thousand, nine hundred sixty".