40315961520 has 200 divisors, whose sum is σ = 140836606416. Its totient is φ = 10688481792.

The previous prime is 40315961519. The next prime is 40315961549. The reversal of 40315961520 is 2516951304.

40315961520 is a `hidden beast` number, since 4 + 0 + 3 + 15 + 9 + 615 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1103059 + ... + 1139021.

Almost surely, 2^40315961520 is an apocalyptic number.

40315961520 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 40315961520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70418303208).

40315961520 is an abundant number, since it is smaller than the sum of its proper divisors (100520644896).

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

40315961520 is a wasteful number, since it uses less digits than its factorization.

40315961520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36161 (or 36146 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 40315961520 in words is "forty billion, three hundred fifteen million, nine hundred sixty-one thousand, five hundred twenty".