315074379901440 has 640 divisors, whose sum is σ = 1078858336647168. Its totient is φ = 78296163287040.

The previous prime is 315074379901439. The next prime is 315074379901441. The reversal of 315074379901440 is 44109973470513.

It is an interprime number because it is at equal distance from previous prime (315074379901439) and next prime (315074379901441).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×315074379901440² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (315074379901441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 854284752 + ... + 854653488.

Almost surely, 2^{315074379901440} is an apocalyptic number.

315074379901440 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 315074379901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539429168323584).

315074379901440 is an abundant number, since it is smaller than the sum of its proper divisors (763783956745728).

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

315074379901440 is a wasteful number, since it uses less digits than its factorization.

315074379901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368928 (or 368912 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 315074379901440 in words is "three hundred fifteen trillion, seventy-four billion, three hundred seventy-nine million, nine hundred one thousand, four hundred forty".