14410013021400 has 192 divisors, whose sum is σ = 45116101134720. Its totient is φ = 3804521011200.

The previous prime is 14410013021359. The next prime is 14410013021477. The reversal of 14410013021400 is 412031001441.

14410013021400 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33822099 + ... + 34245501.

It is an arithmetic number, because the mean of its divisors is an integer number (234979693410).

Almost surely, 2^{14410013021400} is an apocalyptic number.

14410013021400 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 14410013021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22558050567360).

14410013021400 is an abundant number, since it is smaller than the sum of its proper divisors (30706088113320).

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

14410013021400 is a wasteful number, since it uses less digits than its factorization.

14410013021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423986 (or 423977 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 14410013021400 its reverse (412031001441), we get a palindrome (14822044022841).

The spelling of 14410013021400 in words is "fourteen trillion, four hundred ten billion, thirteen million, twenty-one thousand, four hundred".