414113142344 has 96 divisors (see below), whose sum is σ = 865991770560. Its totient is φ = 185482661760.

The previous prime is 414113142343. The next prime is 414113142347. The reversal of 414113142344 is 443241311414.

It is a self number, because there is not a number n which added to its sum of digits gives 414113142344.

It is not an unprimeable number, because it can be changed into a prime (414113142343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31890077 + ... + 31903059.

It is an arithmetic number, because the mean of its divisors is an integer number (9020747610).

Almost surely, 2^414113142344 is an apocalyptic number.

414113142344 is a gapful number since it is divisible by the number (44) 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 414113142344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432995885280).

414113142344 is an abundant number, since it is smaller than the sum of its proper divisors (451878628216).

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

414113142344 is a wasteful number, since it uses less digits than its factorization.

414113142344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13491 (or 13476 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

Adding to 414113142344 its reverse (443241311414), we get a palindrome (857354453758).

The spelling of 414113142344 in words is "four hundred fourteen billion, one hundred thirteen million, one hundred forty-two thousand, three hundred forty-four".