4049792964 has 180 divisors, whose sum is σ = 12550415724. Its totient is φ = 1135016064.

The previous prime is 4049792959. The next prime is 4049792977. The reversal of 4049792964 is 4692979404.

4049792964 is a `hidden beast` number, since 4 + 0 + 497 + 92 + 9 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2976575364 + 1073217600 = 54558^2 + 32760^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4049792964.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 839022 + ... + 843834.

Almost surely, 2^4049792964 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 4049792964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6275207862).

4049792964 is an abundant number, since it is smaller than the sum of its proper divisors (8500622760).

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

4049792964 is a wasteful number, since it uses less digits than its factorization.

4049792964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4896 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 4049792964 is about 63637.9836575610. The cubic root of 4049792964 is about 1593.9606917580.

The spelling of 4049792964 in words is "four billion, forty-nine million, seven hundred ninety-two thousand, nine hundred sixty-four".