4412968560 has 960 divisors, whose sum is σ = 20651535360. Its totient is φ = 841052160.

The previous prime is 4412968523. The next prime is 4412968561. The reversal of 4412968560 is 658692144.

4412968560 is a `hidden beast` number, since 4 + 4 + 1 + 29 + 68 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412968561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28108002 + ... + 28108158.

It is an arithmetic number, because the mean of its divisors is an integer number (21512016).

Almost surely, 2^4412968560 is an apocalyptic number.

4412968560 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 4412968560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10325767680).

4412968560 is an abundant number, since it is smaller than the sum of its proper divisors (16238566800).

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

4412968560 is a wasteful number, since it uses less digits than its factorization.

4412968560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4412968560 is about 66430.1780819531. The cubic root of 4412968560 is about 1640.2508737769.

The spelling of 4412968560 in words is "four billion, four hundred twelve million, nine hundred sixty-eight thousand, five hundred sixty".