4417338240 has 960 divisors, whose sum is σ = 19247595840. Its totient is φ = 961486848.

The previous prime is 4417338239. The next prime is 4417338307. The reversal of 4417338240 is 428337144.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 4417338195 and 4417338204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 93985897 + ... + 93985943.

It is an arithmetic number, because the mean of its divisors is an integer number (20049579).

Almost surely, 2^4417338240 is an apocalyptic number.

4417338240 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 4417338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9623797920).

4417338240 is an abundant number, since it is smaller than the sum of its proper divisors (14830257600).

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

4417338240 is a wasteful number, since it uses less digits than its factorization.

4417338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4417338240 is about 66463.0592133706. The cubic root of 4417338240 is about 1640.7920821837.

It can be divided in two parts, 441 and 7338240, that added together give a square (7338681 = 2709²).

The spelling of 4417338240 in words is "four billion, four hundred seventeen million, three hundred thirty-eight thousand, two hundred forty".