14212434300400 has 180 divisors, whose sum is σ = 39782129294160. Its totient is φ = 4865228390400.

The previous prime is 14212434300341. The next prime is 14212434300451. The reversal of 14212434300400 is 400343421241.

14212434300400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11997981 + ... + 13129219.

It is an arithmetic number, because the mean of its divisors is an integer number (221011829412).

Almost surely, 2^{14212434300400} is an apocalyptic number.

14212434300400 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 14212434300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19891064647080).

14212434300400 is an abundant number, since it is smaller than the sum of its proper divisors (25569694993760).

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

14212434300400 is a wasteful number, since it uses less digits than its factorization.

14212434300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131912 (or 1131894 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14212434300400 its reverse (400343421241), we get a palindrome (14612777721641).

The spelling of 14212434300400 in words is "fourteen trillion, two hundred twelve billion, four hundred thirty-four million, three hundred thousand, four hundred".