40795049664 has 126 divisors (see below), whose sum is σ = 120826949100. Its totient is φ = 13159514880.

The previous prime is 40795049627. The next prime is 40795049671. The reversal of 40795049664 is 46694059704.

It is a happy number.

40795049664 is a `hidden beast` number, since 4 + 0 + 7 + 95 + 0 + 496 + 64 = 666.

40795049664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40795049664.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 516687 + ... + 590385.

Almost surely, 2^40795049664 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 40795049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60413474550).

40795049664 is an abundant number, since it is smaller than the sum of its proper divisors (80031899436).

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

40795049664 is a wasteful number, since it uses less digits than its factorization.

40795049664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73779 (or 73735 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 40795049664 in words is "forty billion, seven hundred ninety-five million, forty-nine thousand, six hundred sixty-four".