315955661040 has 320 divisors, whose sum is σ = 1157285750400. Its totient is φ = 78956199936.

The previous prime is 315955661033. The next prime is 315955661059. The reversal of 315955661040 is 40166559513.

315955661040 is a `hidden beast` number, since 3 + 1 + 59 + 556 + 6 + 1 + 0 + 40 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8537296 + ... + 8574224.

It is an arithmetic number, because the mean of its divisors is an integer number (3616517970).

Almost surely, 2^315955661040 is an apocalyptic number.

315955661040 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 315955661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578642875200).

315955661040 is an abundant number, since it is smaller than the sum of its proper divisors (841330089360).

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

315955661040 is a wasteful number, since it uses less digits than its factorization.

315955661040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37201 (or 37189 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 315955661040 in words is "three hundred fifteen billion, nine hundred fifty-five million, six hundred sixty-one thousand, forty".