14314300134400 has 528 divisors, whose sum is σ = 43678397340160. Its totient is φ = 4541283532800.

The previous prime is 14314300134359. The next prime is 14314300134509. The reversal of 14314300134400 is 443100341341.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 146357515 + ... + 146455285.

Almost surely, 2^{14314300134400} is an apocalyptic number.

14314300134400 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 14314300134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21839198670080).

14314300134400 is an abundant number, since it is smaller than the sum of its proper divisors (29364097205760).

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

14314300134400 is a wasteful number, since it uses less digits than its factorization.

14314300134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97870 (or 97847 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 14314300134400 its reverse (443100341341), we get a palindrome (14757400475741).

The spelling of 14314300134400 in words is "fourteen trillion, three hundred fourteen billion, three hundred million, one hundred thirty-four thousand, four hundred".