4299104160 has 960 divisors, whose sum is σ = 18441561600. Its totient is φ = 931627008.

The previous prime is 4299104123. The next prime is 4299104171. The reversal of 4299104160 is 614019924.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 54419001 + ... + 54419079.

It is an arithmetic number, because the mean of its divisors is an integer number (19209960).

Almost surely, 2^4299104160 is an apocalyptic number.

4299104160 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 4299104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9220780800).

4299104160 is an abundant number, since it is smaller than the sum of its proper divisors (14142457440).

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

4299104160 is a wasteful number, since it uses less digits than its factorization.

4299104160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4299104160 is about 65567.5541712515. The cubic root of 4299104160 is about 1626.0203970699.

The spelling of 4299104160 in words is "four billion, two hundred ninety-nine million, one hundred four thousand, one hundred sixty".