4056236640 has 72 divisors (see below), whose sum is σ = 13841912448. Its totient is φ = 1081662720.

The previous prime is 4056236627. The next prime is 4056236687. The reversal of 4056236640 is 466326504.

4056236640 is a `hidden beast` number, since 4 + 0 + 5 + 6 + 2 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4056236595 and 4056236604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1406976 + ... + 1409855.

It is an arithmetic number, because the mean of its divisors is an integer number (192248784).

Almost surely, 2^4056236640 is an apocalyptic number.

4056236640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4056236640 is an abundant number, since it is smaller than the sum of its proper divisors (9785675808).

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

4056236640 is a wasteful number, since it uses less digits than its factorization.

4056236640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816852 (or 2816841 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4056236640 is about 63688.5911290240. The cubic root of 4056236640 is about 1594.8056340168.

The spelling of 4056236640 in words is "four billion, fifty-six million, two hundred thirty-six thousand, six hundred forty".