315452561351040 has 384 divisors, whose sum is σ = 1131168997969920. Its totient is φ = 80919637217280.

The previous prime is 315452561351021. The next prime is 315452561351087. The reversal of 315452561351040 is 40153165254513.

It is a happy number.

315452561351040 is a `hidden beast` number, since 3 + 1 + 5 + 4 + 5 + 2 + 561 + 35 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24530157 + ... + 35108883.

It is an arithmetic number, because the mean of its divisors is an integer number (2945752598880).

Almost surely, 2^{315452561351040} is an apocalyptic number.

315452561351040 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 315452561351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565584498984960).

315452561351040 is an abundant number, since it is smaller than the sum of its proper divisors (815716436618880).

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

315452561351040 is a wasteful number, since it uses less digits than its factorization.

315452561351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10578950 (or 10578935 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 315452561351040 in words is "three hundred fifteen trillion, four hundred fifty-two billion, five hundred sixty-one million, three hundred fifty-one thousand, forty".