14103141414400 has 120 divisors (see below), whose sum is σ = 35080852353624. Its totient is φ = 5618780160000.

The previous prime is 14103141414353. The next prime is 14103141414433. The reversal of 14103141414400 is 441414130141.

It is a happy number.

14103141414400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1017964 + ... + 5407636.

Almost surely, 2^{14103141414400} is an apocalyptic number.

14103141414400 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 14103141414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17540426176812).

14103141414400 is an abundant number, since it is smaller than the sum of its proper divisors (20977710939224).

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

14103141414400 is an equidigital number, since it uses as much as digits as its factorization.

14103141414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389952 (or 4389931 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 14103141414400 its reverse (441414130141), we get a palindrome (14544555544541).

The spelling of 14103141414400 in words is "fourteen trillion, one hundred three billion, one hundred forty-one million, four hundred fourteen thousand, four hundred".