315145543040 has 128 divisors (see below), whose sum is σ = 814686076800. Its totient is φ = 116118519808.

The previous prime is 315145542983. The next prime is 315145543049. The reversal of 315145543040 is 40345541513.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315145543049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203216 + ... + 819504.

It is an arithmetic number, because the mean of its divisors is an integer number (6364734975).

Almost surely, 2^315145543040 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 315145543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407343038400).

315145543040 is an abundant number, since it is smaller than the sum of its proper divisors (499540533760).

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

315145543040 is a wasteful number, since it uses less digits than its factorization.

315145543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616372 (or 616360 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 315145543040 in words is "three hundred fifteen billion, one hundred forty-five million, five hundred forty-three thousand, forty".