414334112120 has 96 divisors (see below), whose sum is σ = 976868436960. Its totient is φ = 158127379200.

The previous prime is 414334112117. The next prime is 414334112219. The reversal of 414334112120 is 21211433414.

It is a super-3 number, since 3×414334112120³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414334112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2653334 + ... + 2805146.

It is an arithmetic number, because the mean of its divisors is an integer number (10175712885).

Almost surely, 2^414334112120 is an apocalyptic number.

414334112120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414334112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488434218480).

414334112120 is an abundant number, since it is smaller than the sum of its proper divisors (562534324840).

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

414334112120 is a wasteful number, since it uses less digits than its factorization.

414334112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151957 (or 151922 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 414334112120 its reverse (21211433414), we get a palindrome (435545545534).

The spelling of 414334112120 in words is "four hundred fourteen billion, three hundred thirty-four million, one hundred twelve thousand, one hundred twenty".