4090134118464 has 189 divisors, whose sum is σ = 12177823203741. Its totient is φ = 1362941199360.

The previous prime is 4090134118453. The next prime is 4090134118471. The reversal of 4090134118464 is 4648114310904.

The square root of 4090134118464 is 2022408.

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

4090134118464 is a `hidden beast` number, since 4 + 0 + 90 + 13 + 411 + 84 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2620620864 + 4087513497600 = 51192^2 + 2021760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1310518824 + ... + 1310521944.

Almost surely, 2^{4090134118464} is an apocalyptic number.

4090134118464 is the 2022408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4090134118464

4090134118464 is an abundant number, since it is smaller than the sum of its proper divisors (8087689085277).

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

4090134118464 is an frugal number, since it uses more digits than its factorization.

4090134118464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4090134118464 in words is "four trillion, ninety billion, one hundred thirty-four million, one hundred eighteen thousand, four hundred sixty-four".