41626561410045 has 12 divisors (see below), whose sum is σ = 72152706444156. Its totient is φ = 22200832752000.

The previous prime is 41626561410017. The next prime is 41626561410053. The reversal of 41626561410045 is 54001416562614.

41626561410045 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 6 + 561 + 41 + 0 + 0 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29074073793444 + 12552487616601 = 5392038^2 + 3542949^2 .

It is not a de Polignac number, because 41626561410045 - 2¹⁰ = 41626561409021 is a prime.

It is a super-2 number, since 2×41626561410045² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 925034698001 = 41626561410045 / (4 + 1 + 6 + 2 + 6 + 5 + 6 + 1 + 4 + 1 + 0 + 0 + 4 + 5).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 462517348956 + ... + 462517349045.

It is an arithmetic number, because the mean of its divisors is an integer number (6012725537013).

Almost surely, 2^{41626561410045} is an apocalyptic number.

41626561410045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41626561410045 is a deficient number, since it is larger than the sum of its proper divisors (30526145034111).

41626561410045 is a wasteful number, since it uses less digits than its factorization.

41626561410045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925034698012 (or 925034698009 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

Adding to 41626561410045 its reverse (54001416562614), we get a palindrome (95627977972659).

The spelling of 41626561410045 in words is "forty-one trillion, six hundred twenty-six billion, five hundred sixty-one million, four hundred ten thousand, forty-five".