315441164640 has 576 divisors, whose sum is σ = 1237310484480. Its totient is φ = 66094755840.

The previous prime is 315441164579. The next prime is 315441164641. The reversal of 315441164640 is 46461144513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315441164641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37597566 + ... + 37605954.

It is an arithmetic number, because the mean of its divisors is an integer number (2148108480).

Almost surely, 2^315441164640 is an apocalyptic number.

315441164640 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 315441164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618655242240).

315441164640 is an abundant number, since it is smaller than the sum of its proper divisors (921869319840).

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

315441164640 is a wasteful number, since it uses less digits than its factorization.

315441164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8483 (or 8456 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 315441164640 in words is "three hundred fifteen billion, four hundred forty-one million, one hundred sixty-four thousand, six hundred forty".