4079632392 has 320 divisors, whose sum is σ = 13351314240. Its totient is φ = 1150156800.

The previous prime is 4079632387. The next prime is 4079632393. The reversal of 4079632392 is 2932369704.

4079632392 is a `hidden beast` number, since 4 + 0 + 7 + 9 + 632 + 3 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4079632393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15873928 + ... + 15874184.

It is an arithmetic number, because the mean of its divisors is an integer number (41722857).

Almost surely, 2^4079632392 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 4079632392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6675657120).

4079632392 is an abundant number, since it is smaller than the sum of its proper divisors (9271681848).

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

4079632392 is a wasteful number, since it uses less digits than its factorization.

4079632392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 4079632392 is about 63872.0000626253. Note that the first 4 decimals coincide. The cubic root of 4079632392 is about 1597.8659559672.

The spelling of 4079632392 in words is "four billion, seventy-nine million, six hundred thirty-two thousand, three hundred ninety-two".