40101659136 has 240 divisors, whose sum is σ = 144295639488. Its totient is φ = 10415923200.

The previous prime is 40101659119. The next prime is 40101659137. The reversal of 40101659136 is 63195610104.

40101659136 is a `hidden beast` number, since 40 + 10 + 16 + 591 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40101659136.

It is not an unprimeable number, because it can be changed into a prime (40101659137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298306 + ... + 411326.

Almost surely, 2^40101659136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40101659136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72147819744).

40101659136 is an abundant number, since it is smaller than the sum of its proper divisors (104193980352).

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

40101659136 is a wasteful number, since it uses less digits than its factorization.

40101659136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113063 (or 113044 counting only the distinct ones).

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

The spelling of 40101659136 in words is "forty billion, one hundred one million, six hundred fifty-nine thousand, one hundred thirty-six".