414100204331431 has 16 divisors (see below), whose sum is σ = 440140741344000. Its totient is φ = 388852757491968.

The previous prime is 414100204331417. The next prime is 414100204331459. The reversal of 414100204331431 is 134133402001414.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414100204331431 is a prime.

It is a super-2 number, since 2×414100204331431² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414100204331393 and 414100204331402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414100204331831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77860950 + ... + 83009203.

It is an arithmetic number, because the mean of its divisors is an integer number (27508796334000).

Almost surely, 2^{414100204331431} is an apocalyptic number.

414100204331431 is a deficient number, since it is larger than the sum of its proper divisors (26040537012569).

414100204331431 is a wasteful number, since it uses less digits than its factorization.

414100204331431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160872618.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 414100204331431 its reverse (134133402001414), we get a palindrome (548233606332845).

The spelling of 414100204331431 in words is "four hundred fourteen trillion, one hundred billion, two hundred four million, three hundred thirty-one thousand, four hundred thirty-one".