14001441340200 has 96 divisors (see below), whose sum is σ = 43406769512160. Its totient is φ = 3733519724800.

The previous prime is 14001441340163. The next prime is 14001441340217. The reversal of 14001441340200 is 204314410041.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 10885135 + ... + 12103265.

It is an arithmetic number, because the mean of its divisors is an integer number (452153849085).

Almost surely, 2^{14001441340200} is an apocalyptic number.

14001441340200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001441340200 is an abundant number, since it is smaller than the sum of its proper divisors (29405328171960).

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

14001441340200 is a wasteful number, since it uses less digits than its factorization.

14001441340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237307 (or 1237298 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14001441340200 its reverse (204314410041), we get a palindrome (14205755750241).

The spelling of 14001441340200 in words is "fourteen trillion, one billion, four hundred forty-one million, three hundred forty thousand, two hundred".