14034001314400 has 36 divisors (see below), whose sum is σ = 34260505710732. Its totient is φ = 5613600525440.

The previous prime is 14034001314397. The next prime is 14034001314407. The reversal of 14034001314400 is 441310043041.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14034001314407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8771250022 + ... + 8771251621.

It is an arithmetic number, because the mean of its divisors is an integer number (951680714187).

Almost surely, 2^{14034001314400} is an apocalyptic number.

14034001314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14034001314400 is an abundant number, since it is smaller than the sum of its proper divisors (20226504396332).

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

14034001314400 is a wasteful number, since it uses less digits than its factorization.

14034001314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17542501663 (or 17542501650 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 14034001314400 its reverse (441310043041), we get a palindrome (14475311357441).

The spelling of 14034001314400 in words is "fourteen trillion, thirty-four billion, one million, three hundred fourteen thousand, four hundred".