13434214104024 has 256 divisors, whose sum is σ = 42173654400000. Its totient is φ = 3551329732608.

The previous prime is 13434214104001. The next prime is 13434214104037. The reversal of 13434214104024 is 42040141243431.

It is a happy number.

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, 7443162 + ... + 9070230.

It is an arithmetic number, because the mean of its divisors is an integer number (164740837500).

Almost surely, 2^{13434214104024} is an apocalyptic number.

13434214104024 is a gapful number since it is divisible by the number (14) 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 13434214104024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21086827200000).

13434214104024 is an abundant number, since it is smaller than the sum of its proper divisors (28739440295976).

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

13434214104024 is a wasteful number, since it uses less digits than its factorization.

13434214104024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627175 (or 1627157 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 13434214104024 its reverse (42040141243431), we get a palindrome (55474355347455).

It can be divided in two parts, 1343421 and 4104024, that added together give a palindrome (5447445).

The spelling of 13434214104024 in words is "thirteen trillion, four hundred thirty-four billion, two hundred fourteen million, one hundred four thousand, twenty-four".