315631067304140 has 192 divisors, whose sum is σ = 797918658969600. Its totient is φ = 102452021856000.

The previous prime is 315631067304103. The next prime is 315631067304143. The reversal of 315631067304140 is 41403760136513.

It is a happy number.

It is a super-2 number, since 2×315631067304140² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315631067304091 and 315631067304100.

It is not an unprimeable number, because it can be changed into a prime (315631067304143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35262096665 + ... + 35262105615.

It is an arithmetic number, because the mean of its divisors is an integer number (4155826348800).

Almost surely, 2^{315631067304140} 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 315631067304140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398959329484800).

315631067304140 is an abundant number, since it is smaller than the sum of its proper divisors (482287591665460).

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

315631067304140 is a wasteful number, since it uses less digits than its factorization.

315631067304140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16396 (or 16394 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 315631067304140 in words is "three hundred fifteen trillion, six hundred thirty-one billion, sixty-seven million, three hundred four thousand, one hundred forty".