40315916160 has 1344 divisors, whose sum is σ = 172500058080. Its totient is φ = 8934064128.

The previous prime is 40315916159. The next prime is 40315916243. The reversal of 40315916160 is 6161951304.

40315916160 is a `hidden beast` number, since 4 + 0 + 3 + 1 + 591 + 6 + 1 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1752865909 + ... + 1752865931.

Almost surely, 2^40315916160 is an apocalyptic number.

40315916160 is a gapful number since it is divisible by the number (40) 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 40315916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86250029040).

40315916160 is an abundant number, since it is smaller than the sum of its proper divisors (132184141920).

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

40315916160 is a wasteful number, since it uses less digits than its factorization.

40315916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 40315916160 in words is "forty billion, three hundred fifteen million, nine hundred sixteen thousand, one hundred sixty".