14331010140200 has 384 divisors, whose sum is σ = 38002580179200. Its totient is φ = 4985886597120.

The previous prime is 14331010140193. The next prime is 14331010140217. The reversal of 14331010140200 is 204101013341.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4876150331 + ... + 4876153269.

It is an arithmetic number, because the mean of its divisors is an integer number (98965052550).

Almost surely, 2^{14331010140200} is an apocalyptic number.

14331010140200 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 14331010140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19001290089600).

14331010140200 is an abundant number, since it is smaller than the sum of its proper divisors (23671570039000).

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

14331010140200 is a wasteful number, since it uses less digits than its factorization.

14331010140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14331010140200 its reverse (204101013341), we get a palindrome (14535111153541).

The spelling of 14331010140200 in words is "fourteen trillion, three hundred thirty-one billion, ten million, one hundred forty thousand, two hundred".