14032134124400 has 120 divisors (see below), whose sum is σ = 39347981091840. Its totient is φ = 4708655297280.

The previous prime is 14032134124343. The next prime is 14032134124417. The reversal of 14032134124400 is 442143123041.

14032134124400 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, 53181980 + ... + 53445179.

It is an arithmetic number, because the mean of its divisors is an integer number (327899842432).

Almost surely, 2^{14032134124400} is an apocalyptic number.

14032134124400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14032134124400 is an abundant number, since it is smaller than the sum of its proper divisors (25315846967440).

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

14032134124400 is a wasteful number, since it uses less digits than its factorization.

14032134124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106627231 (or 106627220 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 14032134124400 its reverse (442143123041), we get a palindrome (14474277247441).

The spelling of 14032134124400 in words is "fourteen trillion, thirty-two billion, one hundred thirty-four million, one hundred twenty-four thousand, four hundred".