4401124560 has 480 divisors, whose sum is σ = 18473674752. Its totient is φ = 915701760.

The previous prime is 4401124549. The next prime is 4401124631. The reversal of 4401124560 is 654211044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2655252 + ... + 2656908.

Almost surely, 2^4401124560 is an apocalyptic number.

4401124560 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 4401124560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9236837376).

4401124560 is an abundant number, since it is smaller than the sum of its proper divisors (14072550192).

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

4401124560 is a wasteful number, since it uses less digits than its factorization.

4401124560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4401124560 is about 66340.9719554967. The cubic root of 4401124560 is about 1638.7821317230.

The spelling of 4401124560 in words is "four billion, four hundred one million, one hundred twenty-four thousand, five hundred sixty".