4294010880 has 480 divisors, whose sum is σ = 15982686720. Its totient is φ = 1101496320.

The previous prime is 4294010827. The next prime is 4294010927. The reversal of 4294010880 is 880104924.

4294010880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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 39 ways as a sum of consecutive naturals, for example, 25712557 + ... + 25712723.

It is an arithmetic number, because the mean of its divisors is an integer number (33297264).

Almost surely, 2^4294010880 is an apocalyptic number.

4294010880 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 4294010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7991343360).

4294010880 is an abundant number, since it is smaller than the sum of its proper divisors (11688675840).

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

4294010880 is a wasteful number, since it uses less digits than its factorization.

4294010880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4294010880 is about 65528.7027187323. The cubic root of 4294010880 is about 1625.3780113098.

The spelling of 4294010880 in words is "four billion, two hundred ninety-four million, ten thousand, eight hundred eighty".