315772007040 has 640 divisors, whose sum is σ = 1294440808320. Its totient is φ = 72156303360.

The previous prime is 315772006993. The next prime is 315772007069. The reversal of 315772007040 is 40700277513.

315772007040 is a `hidden beast` number, since 315 + 77 + 200 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 315772006986 and 315772007004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88178050 + ... + 88181630.

It is an arithmetic number, because the mean of its divisors is an integer number (2022563763).

Almost surely, 2^315772007040 is an apocalyptic number.

315772007040 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 315772007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647220404160).

315772007040 is an abundant number, since it is smaller than the sum of its proper divisors (978668801280).

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

315772007040 is an frugal number, since it uses more digits than its factorization.

315772007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 315772007040 in words is "three hundred fifteen billion, seven hundred seventy-two million, seven thousand, forty".