315006231661040 has 160 divisors (see below), whose sum is σ = 748933190208000. Its totient is φ = 123195553873920.

The previous prime is 315006231661013. The next prime is 315006231661063. The reversal of 315006231661040 is 40166132600513.

It is a junction number, because it is equal to n+sod(n) for n = 315006231660985 and 315006231661003.

It is a congruent number.

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, 235910480 + ... + 237242000.

It is an arithmetic number, because the mean of its divisors is an integer number (4680832438800).

Almost surely, 2^{315006231661040} 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 315006231661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374466595104000).

315006231661040 is an abundant number, since it is smaller than the sum of its proper divisors (433926958546960).

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

315006231661040 is a wasteful number, since it uses less digits than its factorization.

315006231661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331995 (or 1331989 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 315006231661040 in words is "three hundred fifteen trillion, six billion, two hundred thirty-one million, six hundred sixty-one thousand, forty".