4799179440 has 360 divisors, whose sum is σ = 18297412224. Its totient is φ = 1125273600.

The previous prime is 4799179417. The next prime is 4799179457. The reversal of 4799179440 is 449719974.

4799179440 is a `hidden beast` number, since 47 + 9 + 91 + 79 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2699832 + ... + 2701608.

Almost surely, 2^4799179440 is an apocalyptic number.

4799179440 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 4799179440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9148706112).

4799179440 is an abundant number, since it is smaller than the sum of its proper divisors (13498232784).

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

4799179440 is a wasteful number, since it uses less digits than its factorization.

4799179440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 4799179440 is about 69276.1101679360. The cubic root of 4799179440 is about 1686.7692019161.

The spelling of 4799179440 in words is "four billion, seven hundred ninety-nine million, one hundred seventy-nine thousand, four hundred forty".