4079434320 has 320 divisors, whose sum is σ = 15261523200. Its totient is φ = 995604480.

The previous prime is 4079434309. The next prime is 4079434363. The reversal of 4079434320 is 234349704.

4079434320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3677926 + ... + 3679034.

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

Almost surely, 2^4079434320 is an apocalyptic number.

4079434320 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 4079434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7630761600).

4079434320 is an abundant number, since it is smaller than the sum of its proper divisors (11182088880).

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

4079434320 is a wasteful number, since it uses less digits than its factorization.

4079434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4079434320 is about 63870.4495052289. The cubic root of 4079434320 is about 1597.8400959879.

The spelling of 4079434320 in words is "four billion, seventy-nine million, four hundred thirty-four thousand, three hundred twenty".