315390078743040 has 4800 divisors, whose sum is σ = 1438239786762240. Its totient is φ = 64617649274880.

The previous prime is 315390078743027. The next prime is 315390078743083. The reversal of 315390078743040 is 40347870093513.

315390078743040 is a `hidden beast` number, since 3 + 1 + 5 + 3 + 90 + 0 + 7 + 87 + 430 + 40 = 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 479 ways as a sum of consecutive naturals, for example, 1027329246567 + ... + 1027329246873.

Almost surely, 2^{315390078743040} is an apocalyptic number.

315390078743040 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 315390078743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719119893381120).

315390078743040 is an abundant number, since it is smaller than the sum of its proper divisors (1122849708019200).

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

315390078743040 is a wasteful number, since it uses less digits than its factorization.

315390078743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 315390078743040 in words is "three hundred fifteen trillion, three hundred ninety billion, seventy-eight million, seven hundred forty-three thousand, forty".