414121024431 has 48 divisors (see below), whose sum is σ = 616879972800. Its totient is φ = 267540963840.

The previous prime is 414121024417. The next prime is 414121024481. The reversal of 414121024431 is 134420121414.

414121024431 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 210 + 2 + 443 + 1 = 666.

It is not a de Polignac number, because 414121024431 - 2¹¹ = 414121022383 is a prime.

It is a super-2 number, since 2×414121024431² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414121024395 and 414121024404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414121024411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89305645 + ... + 89310281.

It is an arithmetic number, because the mean of its divisors is an integer number (12851666100).

Almost surely, 2^414121024431 is an apocalyptic number.

414121024431 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

414121024431 is a deficient number, since it is larger than the sum of its proper divisors (202758948369).

414121024431 is a wasteful number, since it uses less digits than its factorization.

414121024431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 414121024431 its reverse (134420121414), we get a palindrome (548541145845).

The spelling of 414121024431 in words is "four hundred fourteen billion, one hundred twenty-one million, twenty-four thousand, four hundred thirty-one".