315141324000 has 192 divisors, whose sum is σ = 1056414078720. Its totient is φ = 82083187200.

The previous prime is 315141323999. The next prime is 315141324011. The reversal of 315141324000 is 423141513.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210631 + ... + 821369.

It is an arithmetic number, because the mean of its divisors is an integer number (5502156660).

Almost surely, 2^315141324000 is an apocalyptic number.

315141324000 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 315141324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528207039360).

315141324000 is an abundant number, since it is smaller than the sum of its proper divisors (741272754720).

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

315141324000 is a wasteful number, since it uses less digits than its factorization.

315141324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610810 (or 610792 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 315141324000 its reverse (423141513), we get a palindrome (315564465513).

The spelling of 315141324000 in words is "three hundred fifteen billion, one hundred forty-one million, three hundred twenty-four thousand".