315242928000 has 2560 divisors, whose sum is σ = 1578480583680. Its totient is φ = 60466176000.

The previous prime is 315242927983. The next prime is 315242928031. The reversal of 315242928000 is 829242513.

It is a happy number.

315242928000 is a `hidden beast` number, since 3 + 152 + 429 + 2 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 24249455994 + ... + 24249456006.

It is an arithmetic number, because the mean of its divisors is an integer number (616593978).

Almost surely, 2^315242928000 is an apocalyptic number.

315242928000 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 315242928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789240291840).

315242928000 is an abundant number, since it is smaller than the sum of its proper divisors (1263237655680).

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

315242928000 is an frugal number, since it uses more digits than its factorization.

315242928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 315242928000 in words is "three hundred fifteen billion, two hundred forty-two million, nine hundred twenty-eight thousand".