414112331430 has 144 divisors (see below), whose sum is σ = 1252799926560. Its totient is φ = 94629959424.

The previous prime is 414112331411. The next prime is 414112331449. The reversal of 414112331430 is 34133211414.

414112331430 is a `hidden beast` number, since 4 + 1 + 411 + 233 + 14 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (414112331411) and next prime (414112331449).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 414112331394 and 414112331403.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 21550887 + ... + 21570093.

It is an arithmetic number, because the mean of its divisors is an integer number (8699999490).

Almost surely, 2^414112331430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414112331430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626399963280).

414112331430 is an abundant number, since it is smaller than the sum of its proper divisors (838687595130).

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

414112331430 is a wasteful number, since it uses less digits than its factorization.

414112331430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24123 (or 24113 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 414112331430 its reverse (34133211414), we get a palindrome (448245542844).

The spelling of 414112331430 in words is "four hundred fourteen billion, one hundred twelve million, three hundred thirty-one thousand, four hundred thirty".