14340331432400 has 120 divisors (see below), whose sum is σ = 35395889064984. Its totient is φ = 5579194982400.

The previous prime is 14340331432313. The next prime is 14340331432411. The reversal of 14340331432400 is 423413304341.

14340331432400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1970789207104 + 12369542225296 = 1403848^2 + 3517036^2 .

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, 43540340 + ... + 43868460.

Almost surely, 2^{14340331432400} is an apocalyptic number.

14340331432400 is a gapful number since it is divisible by the number (10) 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 14340331432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17697944532492).

14340331432400 is an abundant number, since it is smaller than the sum of its proper divisors (21055557632584).

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

14340331432400 is a wasteful number, since it uses less digits than its factorization.

14340331432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331129 (or 331118 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 14340331432400 its reverse (423413304341), we get a palindrome (14763744736741).

The spelling of 14340331432400 in words is "fourteen trillion, three hundred forty billion, three hundred thirty-one million, four hundred thirty-two thousand, four hundred".