315984240000 has 2400 divisors, whose sum is σ = 1435840633920. Its totient is φ = 68428800000.

The previous prime is 315984239957. The next prime is 315984240007. The reversal of 315984240000 is 42489513.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315984240007) by changing a digit.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 10193039985 + ... + 10193040015.

Almost surely, 2^315984240000 is an apocalyptic number.

315984240000 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 315984240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717920316960).

315984240000 is an abundant number, since it is smaller than the sum of its proper divisors (1119856393920).

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

315984240000 is a wasteful number, since it uses less digits than its factorization.

315984240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 65 counting only the distinct ones).

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

The spelling of 315984240000 in words is "three hundred fifteen billion, nine hundred eighty-four million, two hundred forty thousand".