315543148576040 has 512 divisors, whose sum is σ = 922917359232000. Its totient is φ = 94212395827200.

The previous prime is 315543148576013. The next prime is 315543148576063. The reversal of 315543148576040 is 40675841345513.

It is a super-2 number, since 2×315543148576040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5790499034 + ... + 5790553526.

It is an arithmetic number, because the mean of its divisors is an integer number (1802572967250).

Almost surely, 2^{315543148576040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315543148576040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461458679616000).

315543148576040 is an abundant number, since it is smaller than the sum of its proper divisors (607374210655960).

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

315543148576040 is a wasteful number, since it uses less digits than its factorization.

315543148576040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55061 (or 55057 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 56.

The spelling of 315543148576040 in words is "three hundred fifteen trillion, five hundred forty-three billion, one hundred forty-eight million, five hundred seventy-six thousand, forty".