4079152224 has 240 divisors, whose sum is σ = 13769699328. Its totient is φ = 1160448768.

The previous prime is 4079152213. The next prime is 4079152247. The reversal of 4079152224 is 4222519704.

4079152224 is a `hidden beast` number, since 40 + 7 + 91 + 522 + 2 + 4 = 666.

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 39 ways as a sum of consecutive naturals, for example, 6948859 + ... + 6949445.

Almost surely, 2^4079152224 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 4079152224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884849664).

4079152224 is an abundant number, since it is smaller than the sum of its proper divisors (9690547104).

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

4079152224 is a wasteful number, since it uses less digits than its factorization.

4079152224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4079152224 is about 63868.2411218596. The cubic root of 4079152224 is about 1597.8032645177.

The spelling of 4079152224 in words is "four billion, seventy-nine million, one hundred fifty-two thousand, two hundred twenty-four".