315140053832340 has 384 divisors, whose sum is σ = 1008713227124736. Its totient is φ = 72813717504000.

The previous prime is 315140053832291. The next prime is 315140053832353. The reversal of 315140053832340 is 43238350041513.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 315140053832292 and 315140053832301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6959630500 + ... + 6959675780.

It is an arithmetic number, because the mean of its divisors is an integer number (2626857362304).

Almost surely, 2^{315140053832340} is an apocalyptic number.

315140053832340 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 315140053832340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504356613562368).

315140053832340 is an abundant number, since it is smaller than the sum of its proper divisors (693573173292396).

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

315140053832340 is a wasteful number, since it uses less digits than its factorization.

315140053832340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50479 (or 50477 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 315140053832340 in words is "three hundred fifteen trillion, one hundred forty billion, fifty-three million, eight hundred thirty-two thousand, three hundred forty".