315453054641340 has 288 divisors, whose sum is σ = 1121148074995200. Its totient is φ = 65533158458880.

The previous prime is 315453054641339. The next prime is 315453054641513. The reversal of 315453054641340 is 43146450354513.

It is a self number, because there is not a number n which added to its sum of digits gives 315453054641340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135612601 + ... + 137919119.

It is an arithmetic number, because the mean of its divisors is an integer number (3892875260400).

Almost surely, 2^{315453054641340} is an apocalyptic number.

315453054641340 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 315453054641340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560574037497600).

315453054641340 is an abundant number, since it is smaller than the sum of its proper divisors (805695020353860).

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

315453054641340 is a wasteful number, since it uses less digits than its factorization.

315453054641340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310785 (or 2310776 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 315453054641340 in words is "three hundred fifteen trillion, four hundred fifty-three billion, fifty-four million, six hundred forty-one thousand, three hundred forty".