40144414132431 has 32 divisors (see below), whose sum is σ = 68000948728320. Its totient is φ = 22929010241472.

The previous prime is 40144414132387. The next prime is 40144414132489. The reversal of 40144414132431 is 13423141444104.

40144414132431 is a `hidden beast` number, since 4 + 0 + 1 + 444 + 141 + 32 + 43 + 1 = 666.

It is not a de Polignac number, because 40144414132431 - 2¹³ = 40144414124239 is a prime.

It is a super-2 number, since 2×40144414132431² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40144414132631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48920605 + ... + 49734438.

It is an arithmetic number, because the mean of its divisors is an integer number (2125029647760).

Almost surely, 2^{40144414132431} is an apocalyptic number.

40144414132431 is a deficient number, since it is larger than the sum of its proper divisors (27856534595889).

40144414132431 is a wasteful number, since it uses less digits than its factorization.

40144414132431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98657212 (or 98657206 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 40144414132431 its reverse (13423141444104), we get a palindrome (53567555576535).

The spelling of 40144414132431 in words is "forty trillion, one hundred forty-four billion, four hundred fourteen million, one hundred thirty-two thousand, four hundred thirty-one".