4233392640 has 320 divisors, whose sum is σ = 15261523200. Its totient is φ = 1112113152.

The previous prime is 4233392623. The next prime is 4233392651. The reversal of 4233392640 is 462933324.

4233392640 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 3 + 9 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×4233392640² = 35843226488812339200, which contains 22 as substring.

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 = 4233392595 and 4233392604.

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 31 ways as a sum of consecutive naturals, for example, 5045341 + ... + 5046179.

It is an arithmetic number, because the mean of its divisors is an integer number (47692260).

Almost surely, 2^4233392640 is an apocalyptic number.

4233392640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4233392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7630761600).

4233392640 is an abundant number, since it is smaller than the sum of its proper divisors (11028130560).

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

4233392640 is an equidigital number, since it uses as much as digits as its factorization.

4233392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 4233392640 is about 65064.5267407671. The cubic root of 4233392640 is about 1617.6932876841.

The spelling of 4233392640 in words is "four billion, two hundred thirty-three million, three hundred ninety-two thousand, six hundred forty".