4581975490560 has 384 divisors, whose sum is σ = 17105852378160. Its totient is φ = 1127866171392.

The previous prime is 4581975490549. The next prime is 4581975490633. The reversal of 4581975490560 is 650945791854.

4581975490560 is a `hidden beast` number, since 4 + 5 + 8 + 1 + 97 + 5 + 490 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4581975490560² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19049767 + ... + 19288793.

Almost surely, 2^{4581975490560} is an apocalyptic number.

4581975490560 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 4581975490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8552926189080).

4581975490560 is an abundant number, since it is smaller than the sum of its proper divisors (12523876887600).

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

4581975490560 is a wasteful number, since it uses less digits than its factorization.

4581975490560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239081 (or 239050 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 4581975490560 in words is "four trillion, five hundred eighty-one billion, nine hundred seventy-five million, four hundred ninety thousand, five hundred sixty".