14187026198400 has 1728 divisors, whose sum is σ = 54121242268800. Its totient is φ = 3263124480000.

The previous prime is 14187026198383. The next prime is 14187026198407. The reversal of 14187026198400 is 489162078141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14187026198407) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 79257129511 + ... + 79257129689.

It is an arithmetic number, because the mean of its divisors is an integer number (31320163350).

Almost surely, 2^{14187026198400} is an apocalyptic number.

14187026198400 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 14187026198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27060621134400).

14187026198400 is an abundant number, since it is smaller than the sum of its proper divisors (39934216070400).

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

14187026198400 is a wasteful number, since it uses less digits than its factorization.

14187026198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 14187026198400 in words is "fourteen trillion, one hundred eighty-seven billion, twenty-six million, one hundred ninety-eight thousand, four hundred".