42614405413101 has 12 divisors (see below), whose sum is σ = 61556834931228. Its totient is φ = 28408360326144.

The previous prime is 42614405413079. The next prime is 42614405413127. The reversal of 42614405413101 is 10131450441624.

42614405413101 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 4 + 4 + 0 + 541 + 3 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14441717651076 + 28172687762025 = 3800226^2 + 5307795^2 .

It is not a de Polignac number, because 42614405413101 - 2¹⁰ = 42614405412077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42614405413201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103389780 + ... + 103801133.

It is an arithmetic number, because the mean of its divisors is an integer number (5129736244269).

Almost surely, 2^{42614405413101} is an apocalyptic number.

It is an amenable number.

42614405413101 is a deficient number, since it is larger than the sum of its proper divisors (18942429518127).

42614405413101 is a wasteful number, since it uses less digits than its factorization.

42614405413101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207213772 (or 207213769 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 42614405413101 its reverse (10131450441624), we get a palindrome (52745855854725).

The spelling of 42614405413101 in words is "forty-two trillion, six hundred fourteen billion, four hundred five million, four hundred thirteen thousand, one hundred one".