40110615216 has 360 divisors, whose sum is σ = 136811600640. Its totient is φ = 10917510912.

The previous prime is 40110615161. The next prime is 40110615221. The reversal of 40110615216 is 61251601104.

40110615216 is a `hidden beast` number, since 40 + 1 + 1 + 0 + 615 + 2 + 1 + 6 = 666.

40110615216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40110615216² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40110615216.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71244151 + ... + 71244713.

It is an arithmetic number, because the mean of its divisors is an integer number (380032224).

Almost surely, 2^40110615216 is an apocalyptic number.

40110615216 is a gapful number since it is divisible by the number (46) 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 40110615216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68405800320).

40110615216 is an abundant number, since it is smaller than the sum of its proper divisors (96700985424).

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

40110615216 is a wasteful number, since it uses less digits than its factorization.

40110615216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 40110615216 in words is "forty billion, one hundred ten million, six hundred fifteen thousand, two hundred sixteen".