10414214431 has 16 divisors (see below), whose sum is σ = 11507788800. Its totient is φ = 9385977600.

The previous prime is 10414214411. The next prime is 10414214483. The reversal of 10414214431 is 13441241401.

It is a cyclic number.

It is not a de Polignac number, because 10414214431 - 2⁷ = 10414214303 is a prime.

It is a super-2 number, since 2×10414214431² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10414214396 and 10414214405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414214411) 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, 115090 + ... + 184591.

It is an arithmetic number, because the mean of its divisors is an integer number (719236800).

Almost surely, 2^10414214431 is an apocalyptic number.

10414214431 is a deficient number, since it is larger than the sum of its proper divisors (1093574369).

10414214431 is a wasteful number, since it uses less digits than its factorization.

10414214431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299790.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10414214431 its reverse (13441241401), we get a palindrome (23855455832).

The spelling of 10414214431 in words is "ten billion, four hundred fourteen million, two hundred fourteen thousand, four hundred thirty-one".