315060071040 has 1536 divisors, whose sum is σ = 1348308460800. Its totient is φ = 69049221120.

The previous prime is 315060071009. The next prime is 315060071059. The reversal of 315060071040 is 40170060513.

315060071040 is a `hidden beast` number, since 3 + 1 + 5 + 0 + 600 + 7 + 10 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 315060070995 and 315060071013.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1821156394 + ... + 1821156566.

Almost surely, 2^315060071040 is an apocalyptic number.

315060071040 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 315060071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674154230400).

315060071040 is an abundant number, since it is smaller than the sum of its proper divisors (1033248389760).

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

315060071040 is a wasteful number, since it uses less digits than its factorization.

315060071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 315060071040 in words is "three hundred fifteen billion, sixty million, seventy-one thousand, forty".