4056392736 has 192 divisors, whose sum is σ = 13151859840. Its totient is φ = 1205867520.

The previous prime is 4056392713. The next prime is 4056392737. The reversal of 4056392736 is 6372936504.

4056392736 is a `hidden beast` number, since 4 + 0 + 5 + 639 + 2 + 7 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4056392691 and 4056392700.

It is not an unprimeable number, because it can be changed into a prime (4056392737) 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, 499686 + ... + 507738.

It is an arithmetic number, because the mean of its divisors is an integer number (68499270).

Almost surely, 2^4056392736 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 4056392736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6575929920).

4056392736 is an abundant number, since it is smaller than the sum of its proper divisors (9095467104).

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

4056392736 is a wasteful number, since it uses less digits than its factorization.

4056392736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8136 (or 8122 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 4056392736 is about 63689.8165800468. The cubic root of 4056392736 is about 1594.8260913692.

The spelling of 4056392736 in words is "four billion, fifty-six million, three hundred ninety-two thousand, seven hundred thirty-six".