4912090560 has 448 divisors, whose sum is σ = 18890040960. Its totient is φ = 1194393600.

The previous prime is 4912090553. The next prime is 4912090591. The reversal of 4912090560 is 650902194.

4912090560 is a `hidden beast` number, since 4 + 9 + 1 + 2 + 0 + 90 + 560 = 666.

It is a super-2 number, since 2×4912090560² = 48257267339282227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11344104 + ... + 11344536.

It is an arithmetic number, because the mean of its divisors is an integer number (42165270).

Almost surely, 2^4912090560 is an apocalyptic number.

4912090560 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 4912090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9445020480).

4912090560 is an abundant number, since it is smaller than the sum of its proper divisors (13977950400).

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

4912090560 is a wasteful number, since it uses less digits than its factorization.

4912090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 4912090560 is about 70086.3079352879. The cubic root of 4912090560 is about 1699.8950984866.

The spelling of 4912090560 in words is "four billion, nine hundred twelve million, ninety thousand, five hundred sixty".