14003301240400 has 120 divisors (see below), whose sum is σ = 33793089328064. Its totient is φ = 5576334796800.

The previous prime is 14003301240359. The next prime is 14003301240407. The reversal of 14003301240400 is 404210330041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14003301240407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333812227 + ... + 333854173.

Almost surely, 2^{14003301240400} is an apocalyptic number.

14003301240400 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 14003301240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16896544664032).

14003301240400 is an abundant number, since it is smaller than the sum of its proper divisors (19789788087664).

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

14003301240400 is a wasteful number, since it uses less digits than its factorization.

14003301240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45669 (or 45658 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14003301240400 its reverse (404210330041), we get a palindrome (14407511570441).

The spelling of 14003301240400 in words is "fourteen trillion, three billion, three hundred one million, two hundred forty thousand, four hundred".