40414102113231 has 144 divisors (see below), whose sum is σ = 73468068244480. Its totient is φ = 20955353443200.

The previous prime is 40414102113227. The next prime is 40414102113299. The reversal of 40414102113231 is 13231120141404.

It is a happy number.

40414102113231 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 410 + 2 + 1 + 13 + 231 = 666.

It is not a de Polignac number, because 40414102113231 - 2² = 40414102113227 is a prime.

It is a super-2 number, since 2×40414102113231² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40414102113195 and 40414102113204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40414102114231) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16959336666 + ... + 16959339048.

Almost surely, 2^{40414102113231} is an apocalyptic number.

40414102113231 is a deficient number, since it is larger than the sum of its proper divisors (33053966131249).

40414102113231 is a wasteful number, since it uses less digits than its factorization.

40414102113231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5618 (or 5604 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 40414102113231 its reverse (13231120141404), we get a palindrome (53645222254635).

The spelling of 40414102113231 in words is "forty trillion, four hundred fourteen billion, one hundred two million, one hundred thirteen thousand, two hundred thirty-one".