14032142241400 has 96 divisors (see below), whose sum is σ = 32950249732080. Its totient is φ = 5556862080000.

The previous prime is 14032142241361. The next prime is 14032142241427. The reversal of 14032142241400 is 414224123041.

14032142241400 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 23 ways as a sum of consecutive naturals, for example, 513288532 + ... + 513315868.

Almost surely, 2^{14032142241400} is an apocalyptic number.

14032142241400 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 14032142241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475124866040).

14032142241400 is an abundant number, since it is smaller than the sum of its proper divisors (18918107490680).

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

14032142241400 is a wasteful number, since it uses less digits than its factorization.

14032142241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52865 (or 52856 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14032142241400 its reverse (414224123041), we get a palindrome (14446366364441).

The spelling of 14032142241400 in words is "fourteen trillion, thirty-two billion, one hundred forty-two million, two hundred forty-one thousand, four hundred".