315101940480 has 288 divisors, whose sum is σ = 1120250174400. Its totient is φ = 83871203328.

The previous prime is 315101940431. The next prime is 315101940481. The reversal of 315101940480 is 84049101513.

315101940480 is a `hidden beast` number, since 31 + 5 + 101 + 9 + 40 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×315101940480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (315101940481) 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, 19241736 + ... + 19258104.

It is an arithmetic number, because the mean of its divisors is an integer number (3889757550).

Almost surely, 2^315101940480 is an apocalyptic number.

315101940480 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 315101940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560125087200).

315101940480 is an abundant number, since it is smaller than the sum of its proper divisors (805148233920).

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

315101940480 is a wasteful number, since it uses less digits than its factorization.

315101940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16956 (or 16936 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 315101940480 in words is "three hundred fifteen billion, one hundred one million, nine hundred forty thousand, four hundred eighty".