315042324000 has 192 divisors, whose sum is σ = 1032481562112. Its totient is φ = 83978496000.

The previous prime is 315042323983. The next prime is 315042324007. The reversal of 315042324000 is 423240513.

It is a super-2 number, since 2×315042324000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (315042324007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60969417 + ... + 60974583.

It is an arithmetic number, because the mean of its divisors is an integer number (5377508136).

Almost surely, 2^315042324000 is an apocalyptic number.

315042324000 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 315042324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516240781056).

315042324000 is an abundant number, since it is smaller than the sum of its proper divisors (717439238112).

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

315042324000 is a wasteful number, since it uses less digits than its factorization.

315042324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10276 (or 10258 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 315042324000 its reverse (423240513), we get a palindrome (315465564513).

The spelling of 315042324000 in words is "three hundred fifteen billion, forty-two million, three hundred twenty-four thousand".