4295116800 has 576 divisors, whose sum is σ = 17061408000. Its totient is φ = 1052835840.

The previous prime is 4295116747. The next prime is 4295116823. The reversal of 4295116800 is 86115924.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 17971081 + ... + 17971319.

It is an arithmetic number, because the mean of its divisors is an integer number (29620500).

Almost surely, 2^4295116800 is an apocalyptic number.

4295116800 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 4295116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704000).

4295116800 is an abundant number, since it is smaller than the sum of its proper divisors (12766291200).

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

4295116800 is a wasteful number, since it uses less digits than its factorization.

4295116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 4295116800 is about 65537.1406150741. The cubic root of 4295116800 is about 1625.5175377187.

The spelling of 4295116800 in words is "four billion, two hundred ninety-five million, one hundred sixteen thousand, eight hundred".