39958416485289 has 21 divisors (see below), whose sum is σ = 59910474301959. Its totient is φ = 26638830540720.

The previous prime is 39958416485249. The next prime is 39958416485311. The reversal of 39958416485289 is 98258461485993.

The square root of 39958416485289 is 6321267.

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

39958416485289 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 8 + 41 + 6 + 48 + 528 + 9 = 666.

39958416485289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37458476030889 + 2499940454400 = 6120333^2 + 1581120^2 .

It is not a de Polignac number, because 39958416485289 - 2²³ = 39958408096681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (39958416485249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 170557149 + ... + 170791269.

Almost surely, 2^{39958416485289} is an apocalyptic number.

39958416485289 is the 6321267-th square number.

39958416485289 is the 3160634-th centered octagonal number.

It is an amenable number.

39958416485289 is a deficient number, since it is larger than the sum of its proper divisors (19952057816670).

39958416485289 is an frugal number, since it uses more digits than its factorization.

39958416485289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468260 (or 234124 counting only the distinct ones).

The product of its digits is 5374771200, while the sum is 81.

39958416485289 divided by its sum of digits (81) gives a square (493313783769 = 702363²).

The spelling of 39958416485289 in words is "thirty-nine trillion, nine hundred fifty-eight billion, four hundred sixteen million, four hundred eighty-five thousand, two hundred eighty-nine".