4942321090560 has 816 divisors, whose sum is σ = 20308363036416. Its totient is φ = 1129545990144.

The previous prime is 4942321090537. The next prime is 4942321090579. The reversal of 4942321090560 is 650901232494.

4942321090560 is a `hidden beast` number, since 4 + 9 + 42 + 32 + 10 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×4942321090560² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557379247 + ... + 557388113.

Almost surely, 2^{4942321090560} is an apocalyptic number.

4942321090560 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 4942321090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10154181518208).

4942321090560 is an abundant number, since it is smaller than the sum of its proper divisors (15366041945856).

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

4942321090560 is an frugal number, since it uses more digits than its factorization.

4942321090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8926 (or 8884 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 4942321090560 in words is "four trillion, nine hundred forty-two billion, three hundred twenty-one million, ninety thousand, five hundred sixty".