414132638373 has 12 divisors (see below), whose sum is σ = 599390376000. Its totient is φ = 275535139176.

The previous prime is 414132638351. The next prime is 414132638417. The reversal of 414132638373 is 373836231414.

414132638373 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 3 + 2 + 638 + 3 + 7 + 3 = 666.

It is not a de Polignac number, because 414132638373 - 2⁹ = 414132637861 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414132638303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46102461 + ... + 46111442.

It is an arithmetic number, because the mean of its divisors is an integer number (49949198000).

Almost surely, 2^414132638373 is an apocalyptic number.

It is an amenable number.

414132638373 is a deficient number, since it is larger than the sum of its proper divisors (185257737627).

414132638373 is a wasteful number, since it uses less digits than its factorization.

414132638373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92214408 (or 92214405 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

Adding to 414132638373 its reverse (373836231414), we get a palindrome (787968869787).

The spelling of 414132638373 in words is "four hundred fourteen billion, one hundred thirty-two million, six hundred thirty-eight thousand, three hundred seventy-three".