14011342400 has 168 divisors, whose sum is σ = 39247291584. Its totient is φ = 4873369600.

The previous prime is 14011342399. The next prime is 14011342417. The reversal of 14011342400 is 424311041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387494 + ... + 422106.

Almost surely, 2^14011342400 is an apocalyptic number.

14011342400 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 14011342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19623645792).

14011342400 is an abundant number, since it is smaller than the sum of its proper divisors (25235949184).

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

14011342400 is a wasteful number, since it uses less digits than its factorization.

14011342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34669 (or 34654 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14011342400 its reverse (424311041), we get a palindrome (14435653441).

The spelling of 14011342400 in words is "fourteen billion, eleven million, three hundred forty-two thousand, four hundred".