315366042720 has 192 divisors, whose sum is σ = 1030163097600. Its totient is φ = 81029818368.

The previous prime is 315366042701. The next prime is 315366042773. The reversal of 315366042720 is 27240663513.

It is a congruent number.

It is an unprimeable number.

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, 1743081 + ... + 1915479.

It is an arithmetic number, because the mean of its divisors is an integer number (5365432800).

Almost surely, 2^315366042720 is an apocalyptic number.

315366042720 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 315366042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515081548800).

315366042720 is an abundant number, since it is smaller than the sum of its proper divisors (714797054880).

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

315366042720 is a wasteful number, since it uses less digits than its factorization.

315366042720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172557 (or 172549 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 315366042720 in words is "three hundred fifteen billion, three hundred sixty-six million, forty-two thousand, seven hundred twenty".