315516606043440 has 160 divisors (see below), whose sum is σ = 998933865569280. Its totient is φ = 82345806180352.

The previous prime is 315516606043427. The next prime is 315516606043447. The reversal of 315516606043440 is 44340606615513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 315516606043440.

It is not an unprimeable number, because it can be changed into a prime (315516606043447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565176127 + ... + 565734113.

It is an arithmetic number, because the mean of its divisors is an integer number (6243336659808).

Almost surely, 2^{315516606043440} is an apocalyptic number.

315516606043440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315516606043440 is an abundant number, since it is smaller than the sum of its proper divisors (683417259525840).

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

315516606043440 is a wasteful number, since it uses less digits than its factorization.

315516606043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608179 (or 608173 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 315516606043440 in words is "three hundred fifteen trillion, five hundred sixteen billion, six hundred six million, forty-three thousand, four hundred forty".