315376042200 has 192 divisors, whose sum is σ = 996370752000. Its totient is φ = 82504880640.

The previous prime is 315376042193. The next prime is 315376042207. The reversal of 315376042200 is 2240673513.

It is an interprime number because it is at equal distance from previous prime (315376042193) and next prime (315376042207).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315376042207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7420611 + ... + 7462989.

It is an arithmetic number, because the mean of its divisors is an integer number (5189431000).

Almost surely, 2^315376042200 is an apocalyptic number.

315376042200 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 315376042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498185376000).

315376042200 is an abundant number, since it is smaller than the sum of its proper divisors (680994709800).

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

315376042200 is a wasteful number, since it uses less digits than its factorization.

315376042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42634 (or 42625 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 315376042200 in words is "three hundred fifteen billion, three hundred seventy-six million, forty-two thousand, two hundred".