41916366261225 has 45 divisors (see below), whose sum is σ = 77644139595253. Its totient is φ = 22355239956480.

The previous prime is 41916366261193. The next prime is 41916366261281. The reversal of 41916366261225 is 52216266361914.

The square root of 41916366261225 is 6474285.

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

41916366261225 is a `hidden beast` number, since 4 + 1 + 9 + 1 + 6 + 3 + 6 + 626 + 1 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20805612774489 + 21110753486736 = 4561317^2 + 4594644^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 41916366261225 - 2⁵ = 41916366261193 is a prime.

It is a super-2 number, since 2×41916366261225² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 291270889 + ... + 291414761.

Almost surely, 2^{41916366261225} is an apocalyptic number.

41916366261225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41916366261225 is the 6474285-th square number.

41916366261225 is the 3237143-rd centered octagonal number.

It is an amenable number.

41916366261225 is a deficient number, since it is larger than the sum of its proper divisors (35727773334028).

41916366261225 is an frugal number, since it uses more digits than its factorization.

41916366261225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287768 (or 143881 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 41916366261225 in words is "forty-one trillion, nine hundred sixteen billion, three hundred sixty-six million, two hundred sixty-one thousand, two hundred twenty-five".