14001241400 has 96 divisors (see below), whose sum is σ = 32810400000. Its totient is φ = 5556405120.

The previous prime is 14001241399. The next prime is 14001241411. The reversal of 14001241400 is 414210041.

14001241400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23851907 + ... + 23852493.

It is an arithmetic number, because the mean of its divisors is an integer number (341775000).

Almost surely, 2^14001241400 is an apocalyptic number.

14001241400 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 14001241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405200000).

14001241400 is an abundant number, since it is smaller than the sum of its proper divisors (18809158600).

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

14001241400 is a wasteful number, since it uses less digits than its factorization.

14001241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 14001241400 its reverse (414210041), we get a palindrome (14415451441).

The spelling of 14001241400 in words is "fourteen billion, one million, two hundred forty-one thousand, four hundred".