315440817700 has 72 divisors (see below), whose sum is σ = 721100409120. Its totient is φ = 119441376000.

The previous prime is 315440817661. The next prime is 315440817709. The reversal of 315440817700 is 7718044513.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (315440817709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2373000 + ... + 2502400.

It is an arithmetic number, because the mean of its divisors is an integer number (10015283460).

Almost surely, 2^315440817700 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 315440817700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360550204560).

315440817700 is an abundant number, since it is smaller than the sum of its proper divisors (405659591420).

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

315440817700 is a wasteful number, since it uses less digits than its factorization.

315440817700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130717 (or 130710 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 315440817700 in words is "three hundred fifteen billion, four hundred forty million, eight hundred seventeen thousand, seven hundred".