40101076116 has 36 divisors (see below), whose sum is σ = 104106250612. Its totient is φ = 13005753984.

The previous prime is 40101076091. The next prime is 40101076133. The reversal of 40101076116 is 61167010104.

40101076116 is a `hidden beast` number, since 40 + 1 + 0 + 1 + 0 + 7 + 611 + 6 = 666.

40101076116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35248560516 + 4852515600 = 187746^2 + 69660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×40101076116² (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 40101076116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15051625 + ... + 15054288.

Almost surely, 2^40101076116 is an apocalyptic number.

It is an amenable number.

40101076116 is an abundant number, since it is smaller than the sum of its proper divisors (64005174496).

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

40101076116 is a wasteful number, since it uses less digits than its factorization.

40101076116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30105960 (or 30105955 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 40101076116 in words is "forty billion, one hundred one million, seventy-six thousand, one hundred sixteen".