414231123432 has 64 divisors (see below), whose sum is σ = 1183583116800. Its totient is φ = 118345187520.

The previous prime is 414231123431. The next prime is 414231123433. The reversal of 414231123432 is 234321132414.

It is an interprime number because it is at equal distance from previous prime (414231123431) and next prime (414231123433).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 414231123432.

It is not an unprimeable number, because it can be changed into a prime (414231123431) 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 15 ways as a sum of consecutive naturals, for example, 3534007 + ... + 3649337.

It is an arithmetic number, because the mean of its divisors is an integer number (18493486200).

Almost surely, 2^414231123432 is an apocalyptic number.

414231123432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

414231123432 is an abundant number, since it is smaller than the sum of its proper divisors (769351993368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414231123432 is a wasteful number, since it uses less digits than its factorization.

414231123432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136726 (or 136722 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 414231123432 its reverse (234321132414), we get a palindrome (648552255846).

The spelling of 414231123432 in words is "four hundred fourteen billion, two hundred thirty-one million, one hundred twenty-three thousand, four hundred thirty-two".