315281141440 has 112 divisors (see below), whose sum is σ = 763861779360. Its totient is φ = 123914280960.

The previous prime is 315281141437. The next prime is 315281141459. The reversal of 315281141440 is 44141182513.

It is a junction number, because it is equal to n+sod(n) for n = 315281141396 and 315281141405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75914404 + ... + 75918556.

Almost surely, 2^315281141440 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 315281141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381930889680).

315281141440 is an abundant number, since it is smaller than the sum of its proper divisors (448580637920).

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

315281141440 is a wasteful number, since it uses less digits than its factorization.

315281141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8250 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 315281141440 in words is "three hundred fifteen billion, two hundred eighty-one million, one hundred forty-one thousand, four hundred forty".