315405415000 has 320 divisors, whose sum is σ = 858297132000. Its totient is φ = 107619840000.

The previous prime is 315405414971. The next prime is 315405415027. The reversal of 315405415000 is 514504513.

It is a super-2 number, since 2×315405415000² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 315405415000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50631886 + ... + 50638114.

Almost surely, 2^315405415000 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 315405415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429148566000).

315405415000 is an abundant number, since it is smaller than the sum of its proper divisors (542891717000).

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

315405415000 is a wasteful number, since it uses less digits than its factorization.

315405415000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6328 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 315405415000 its reverse (514504513), we get a palindrome (315919919513).

The spelling of 315405415000 in words is "three hundred fifteen billion, four hundred five million, four hundred fifteen thousand".