4089260484864 has 567 divisors, whose sum is σ = 12730039970067. Its totient is φ = 1310380416000.

The previous prime is 4089260484787. The next prime is 4089260484889. The reversal of 4089260484864 is 4684840629804.

The square root of 4089260484864 is 2022192.

It is a perfect power (a square), and thus also a powerful number.

4089260484864 is a `hidden beast` number, since 4 + 0 + 8 + 92 + 6 + 0 + 484 + 8 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 27081195189 + ... + 27081195339.

Almost surely, 2^{4089260484864} is an apocalyptic number.

4089260484864 is the 2022192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4089260484864

4089260484864 is an abundant number, since it is smaller than the sum of its proper divisors (8640779485203).

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

4089260484864 is an frugal number, since it uses more digits than its factorization.

4089260484864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 4089260484864 in words is "four trillion, eighty-nine billion, two hundred sixty million, four hundred eighty-four thousand, eight hundred sixty-four".