41642838638131 has 64 divisors (see below), whose sum is σ = 44548755840000. Its totient is φ = 38865088120320.

The previous prime is 41642838638081. The next prime is 41642838638173. The reversal of 41642838638131 is 13183683824614.

It is a cyclic number.

It is not a de Polignac number, because 41642838638131 - 2¹⁷ = 41642838507059 is a prime.

It is a super-2 number, since 2×41642838638131² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41642838138131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14275911685 + ... + 14275914601.

It is an arithmetic number, because the mean of its divisors is an integer number (696074310000).

Almost surely, 2^{41642838638131} is an apocalyptic number.

41642838638131 is a deficient number, since it is larger than the sum of its proper divisors (2905917201869).

41642838638131 is a wasteful number, since it uses less digits than its factorization.

41642838638131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692.

The product of its digits is 15925248, while the sum is 58.

The spelling of 41642838638131 in words is "forty-one trillion, six hundred forty-two billion, eight hundred thirty-eight million, six hundred thirty-eight thousand, one hundred thirty-one".