315395065440 has 1152 divisors, whose sum is σ = 1389393008640. Its totient is φ = 65787199488.

The previous prime is 315395065421. The next prime is 315395065441. The reversal of 315395065440 is 44560593513.

315395065440 is a `hidden beast` number, since 3 + 1 + 53 + 9 + 50 + 6 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315395065441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 343193301 + ... + 343194219.

It is an arithmetic number, because the mean of its divisors is an integer number (1206070320).

Almost surely, 2^315395065440 is an apocalyptic number.

315395065440 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 315395065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694696504320).

315395065440 is an abundant number, since it is smaller than the sum of its proper divisors (1073997943200).

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

315395065440 is a wasteful number, since it uses less digits than its factorization.

315395065440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 315395065440 in words is "three hundred fifteen billion, three hundred ninety-five million, sixty-five thousand, four hundred forty".