4206400992 has 72 divisors (see below), whose sum is σ = 11971290240. Its totient is φ = 1401039360.

The previous prime is 4206400987. The next prime is 4206400999. The reversal of 4206400992 is 2990046024.

4206400992 is a `hidden beast` number, since 4 + 2 + 0 + 640 + 0 + 9 + 9 + 2 = 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (4206400999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 418684 + ... + 428612.

It is an arithmetic number, because the mean of its divisors is an integer number (166267920).

Almost surely, 2^4206400992 is an apocalyptic number.

It is an amenable number.

4206400992 is an abundant number, since it is smaller than the sum of its proper divisors (7764889248).

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

4206400992 is a wasteful number, since it uses less digits than its factorization.

4206400992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11416 (or 11405 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4206400992 is about 64856.7729076925. The cubic root of 4206400992 is about 1614.2478763217.

The spelling of 4206400992 in words is "four billion, two hundred six million, four hundred thousand, nine hundred ninety-two".