414141431 has 16 divisors (see below), whose sum is σ = 482457600. Its totient is φ = 351775200.

The previous prime is 414141421. The next prime is 414141433. The reversal of 414141431 is 134141414.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414141431 is a prime.

It is a super-2 number, since 2×414141431² = 343026249741455522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414141397 and 414141406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414141433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11051 + ... + 30828.

It is an arithmetic number, because the mean of its divisors is an integer number (30153600).

Almost surely, 2^414141431 is an apocalyptic number.

414141431 is a deficient number, since it is larger than the sum of its proper divisors (68316169).

414141431 is a wasteful number, since it uses less digits than its factorization.

414141431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41950.

The product of its digits is 768, while the sum is 23.

The square root of 414141431 is about 20350.4651298195. The cubic root of 414141431 is about 745.3888521513.

Adding to 414141431 its reverse (134141414), we get a palindrome (548282845).

The spelling of 414141431 in words is "four hundred fourteen million, one hundred forty-one thousand, four hundred thirty-one".