414023234142 has 96 divisors (see below), whose sum is σ = 996503878944. Its totient is φ = 114264192000.

The previous prime is 414023234111. The next prime is 414023234159. The reversal of 414023234142 is 241432320414.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1047418 + ... + 1387490.

It is an arithmetic number, because the mean of its divisors is an integer number (10380248739).

Almost surely, 2^414023234142 is an apocalyptic number.

414023234142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 414023234142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498251939472).

414023234142 is an abundant number, since it is smaller than the sum of its proper divisors (582480644802).

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

414023234142 is a wasteful number, since it uses less digits than its factorization.

414023234142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340234 (or 340227 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 414023234142 its reverse (241432320414), we get a palindrome (655455554556).

The spelling of 414023234142 in words is "four hundred fourteen billion, twenty-three million, two hundred thirty-four thousand, one hundred forty-two".