4481016190560 has 576 divisors, whose sum is σ = 19927352495232. Its totient is φ = 889830309888.

The previous prime is 4481016190559. The next prime is 4481016190583. The reversal of 4481016190560 is 650916101844.

4481016190560 is a `hidden beast` number, since 4 + 4 + 81 + 0 + 1 + 6 + 1 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×4481016190560² (a number of 26 digits) contains 22 as substring.

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

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, 1221922 + ... + 3233438.

It is an arithmetic number, because the mean of its divisors is an integer number (34596098082).

Almost surely, 2^{4481016190560} is an apocalyptic number.

4481016190560 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 4481016190560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963676247616).

4481016190560 is an abundant number, since it is smaller than the sum of its proper divisors (15446336304672).

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

4481016190560 is a wasteful number, since it uses less digits than its factorization.

4481016190560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011575 (or 2011564 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 4481016190560 in words is "four trillion, four hundred eighty-one billion, sixteen million, one hundred ninety thousand, five hundred sixty".