315664140000 has 480 divisors, whose sum is σ = 1133108089344. Its totient is φ = 76285440000.

The previous prime is 315664139963. The next prime is 315664140017. The reversal of 315664140000 is 41466513.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 315664140000.

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, 305579484 + ... + 305580516.

Almost surely, 2^315664140000 is an apocalyptic number.

315664140000 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 315664140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566554044672).

315664140000 is an abundant number, since it is smaller than the sum of its proper divisors (817443949344).

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

315664140000 is a wasteful number, since it uses less digits than its factorization.

315664140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 315664140000 in words is "three hundred fifteen billion, six hundred sixty-four million, one hundred forty thousand".