4417126560 has 768 divisors, whose sum is σ = 19740672000. Its totient is φ = 914457600.

The previous prime is 4417126531. The next prime is 4417126601. The reversal of 4417126560 is 656217144.

4417126560 is a `hidden beast` number, since 4 + 4 + 1 + 71 + 26 + 560 = 666.

It is a super-2 number, since 2×4417126560² = 39022014094114867200, which contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 16299225 + ... + 16299495.

It is an arithmetic number, because the mean of its divisors is an integer number (25704000).

Almost surely, 2^4417126560 is an apocalyptic number.

4417126560 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 4417126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9870336000).

4417126560 is an abundant number, since it is smaller than the sum of its proper divisors (15323545440).

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

4417126560 is a wasteful number, since it uses less digits than its factorization.

4417126560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4417126560 is about 66461.4667307305. The cubic root of 4417126560 is about 1640.7658727036.

The spelling of 4417126560 in words is "four billion, four hundred seventeen million, one hundred twenty-six thousand, five hundred sixty".