14412314411334 has 128 divisors (see below), whose sum is σ = 36847052928000. Its totient is φ = 4090341970944.

The previous prime is 14412314411273. The next prime is 14412314411351. The reversal of 14412314411334 is 43311441321441.

14412314411334 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 2 + 314 + 4 + 1 + 1 + 334 = 666.

It is a super-2 number, since 2×14412314411334² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116326932 + ... + 116450760.

It is an arithmetic number, because the mean of its divisors is an integer number (287867601000).

Almost surely, 2^{14412314411334} is an apocalyptic number.

14412314411334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14412314411334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18423526464000).

14412314411334 is an abundant number, since it is smaller than the sum of its proper divisors (22434738516666).

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

14412314411334 is a wasteful number, since it uses less digits than its factorization.

14412314411334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125899 (or 125893 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 14412314411334 its reverse (43311441321441), we get a palindrome (57723755732775).

The spelling of 14412314411334 in words is "fourteen trillion, four hundred twelve billion, three hundred fourteen million, four hundred eleven thousand, three hundred thirty-four".