4416590560 has 96 divisors (see below), whose sum is σ = 10585935360. Its totient is φ = 1741122048.

The previous prime is 4416590543. The next prime is 4416590567. The reversal of 4416590560 is 650956144.

It is a happy number.

It is a super-2 number, since 2×4416590560² = 39012544349362227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416590567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4333731 + ... + 4334749.

It is an arithmetic number, because the mean of its divisors is an integer number (110270160).

Almost surely, 2^4416590560 is an apocalyptic number.

4416590560 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 4416590560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292967680).

4416590560 is an abundant number, since it is smaller than the sum of its proper divisors (6169344800).

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

4416590560 is a wasteful number, since it uses less digits than its factorization.

4416590560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 4416590560 is about 66457.4341966345. The cubic root of 4416590560 is about 1640.6995033063.

The spelling of 4416590560 in words is "four billion, four hundred sixteen million, five hundred ninety thousand, five hundred sixty".