4404481900560 has 480 divisors, whose sum is σ = 17544855724032. Its totient is φ = 1005938818560.

The previous prime is 4404481900537. The next prime is 4404481900597. The reversal of 4404481900560 is 650091844044.

4404481900560 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 4 + 81 + 9 + 0 + 0 + 560 = 666.

It is a super-3 number, since 3×4404481900560³ (a number of 39 digits) contains 333 as substring.

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

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, 180565965 + ... + 180590355.

Almost surely, 2^{4404481900560} is an apocalyptic number.

4404481900560 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 4404481900560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8772427862016).

4404481900560 is an abundant number, since it is smaller than the sum of its proper divisors (13140373823472).

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

4404481900560 is a wasteful number, since it uses less digits than its factorization.

4404481900560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25753 (or 25735 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4404481900560 in words is "four trillion, four hundred four billion, four hundred eighty-one million, nine hundred thousand, five hundred sixty".