14413334400 has 480 divisors, whose sum is σ = 56334318480. Its totient is φ = 3616358400.

The previous prime is 14413334387. The next prime is 14413334407. The reversal of 14413334400 is 443331441.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14413334407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4404765 + ... + 4408035.

Almost surely, 2^14413334400 is an apocalyptic number.

14413334400 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 14413334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28167159240).

14413334400 is an abundant number, since it is smaller than the sum of its proper divisors (41920984080).

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

14413334400 is a wasteful number, since it uses less digits than its factorization.

14413334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14413334400 its reverse (443331441), we get a palindrome (14856665841).

The spelling of 14413334400 in words is "fourteen billion, four hundred thirteen million, three hundred thirty-four thousand, four hundred".