4024796160 has 704 divisors, whose sum is σ = 16639064064. Its totient is φ = 806092800.

The previous prime is 4024796137. The next prime is 4024796177. The reversal of 4024796160 is 616974204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

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, 48491479 + ... + 48491561.

Almost surely, 2^4024796160 is an apocalyptic number.

4024796160 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 4024796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8319532032).

4024796160 is an abundant number, since it is smaller than the sum of its proper divisors (12614267904).

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

4024796160 is a wasteful number, since it uses less digits than its factorization.

4024796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 4024796160 is about 63441.2811976555. The cubic root of 4024796160 is about 1590.6744182201.

The spelling of 4024796160 in words is "four billion, twenty-four million, seven hundred ninety-six thousand, one hundred sixty".