315075440261120 has 1536 divisors, whose sum is σ = 1018559453184000. Its totient is φ = 90592578109440.

The previous prime is 315075440261047. The next prime is 315075440261149. The reversal of 315075440261120 is 21162044570513.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89332416797 + ... + 89332420323.

It is an arithmetic number, because the mean of its divisors is an integer number (663124644000).

Almost surely, 2^{315075440261120} 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 315075440261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509279726592000).

315075440261120 is an abundant number, since it is smaller than the sum of its proper divisors (703484012922880).

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

315075440261120 is a wasteful number, since it uses less digits than its factorization.

315075440261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 315075440261120 in words is "three hundred fifteen trillion, seventy-five billion, four hundred forty million, two hundred sixty-one thousand, one hundred twenty".