315225004240000 has 160 divisors (see below), whose sum is σ = 784848557364300. Its totient is φ = 126071425536000.

The previous prime is 315225004239931. The next prime is 315225004240033. The reversal of 315225004240000 is 42400522513.

It can be written as a sum of positive squares in 10 ways, for example, as 119016404767296 + 196208599472704 = 10909464^2 + 14007448^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 549233182 + ... + 549806818.

Almost surely, 2^{315225004240000} 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 315225004240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392424278682150).

315225004240000 is an abundant number, since it is smaller than the sum of its proper divisors (469623553124300).

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

315225004240000 is an frugal number, since it uses more digits than its factorization.

315225004240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580540 (or 580513 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 315225004240000 its reverse (42400522513), we get a palindrome (315267404762513).

The spelling of 315225004240000 in words is "three hundred fifteen trillion, two hundred twenty-five billion, four million, two hundred forty thousand".