40777107696 has 160 divisors (see below), whose sum is σ = 126168383040. Its totient is φ = 12534912000.

The previous prime is 40777107691. The next prime is 40777107703. The reversal of 40777107696 is 69670177704.

40777107696 is a `hidden beast` number, since 407 + 77 + 10 + 76 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40777107691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7303626 + ... + 7309206.

It is an arithmetic number, because the mean of its divisors is an integer number (788552394).

Almost surely, 2^40777107696 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 40777107696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63084191520).

40777107696 is an abundant number, since it is smaller than the sum of its proper divisors (85391275344).

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

40777107696 is a wasteful number, since it uses less digits than its factorization.

40777107696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6912 (or 6900 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 40777107696 in words is "forty billion, seven hundred seventy-seven million, one hundred seven thousand, six hundred ninety-six".