4414710960 has 240 divisors, whose sum is σ = 17125823520. Its totient is φ = 1007247360.

The previous prime is 4414710959. The next prime is 4414710973. The reversal of 4414710960 is 690174144.

It is a tau number, because it is divible by the number of its divisors (240).

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, 118246 + ... + 151034.

It is an arithmetic number, because the mean of its divisors is an integer number (71357598).

Almost surely, 2^4414710960 is an apocalyptic number.

4414710960 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 4414710960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8562911760).

4414710960 is an abundant number, since it is smaller than the sum of its proper divisors (12711112560).

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

4414710960 is a wasteful number, since it uses less digits than its factorization.

4414710960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32836 (or 32827 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4414710960 is about 66443.2913092059. The cubic root of 4414710960 is about 1640.4667222111.

The spelling of 4414710960 in words is "four billion, four hundred fourteen million, seven hundred ten thousand, nine hundred sixty".