41985306874449 has 27 divisors (see below), whose sum is σ = 60731850752937. Its totient is φ = 27950380918344.

The previous prime is 41985306874361. The next prime is 41985306874451. The reversal of 41985306874449 is 94447860358914.

The square root of 41985306874449 is 6479607.

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

41985306874449 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 53 + 0 + 68 + 74 + 449 = 666.

It is not a de Polignac number, because 41985306874449 - 2¹³ = 41985306866257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41985306874499) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21129997434 + ... + 21129999420.

Almost surely, 2^{41985306874449} is an apocalyptic number.

41985306874449 is the 6479607-th square number.

41985306874449 is the 3239804-th centered octagonal number.

It is an amenable number.

41985306874449 is a deficient number, since it is larger than the sum of its proper divisors (18746543878488).

41985306874449 is an frugal number, since it uses more digits than its factorization.

41985306874449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6154 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 41985306874449 in words is "forty-one trillion, nine hundred eighty-five billion, three hundred six million, eight hundred seventy-four thousand, four hundred forty-nine".