14505000400 has 120 divisors (see below), whose sum is σ = 38498428800. Its totient is φ = 5207654400.

The previous prime is 14505000379. The next prime is 14505000407. The reversal of 14505000400 is 400050541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14505000407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326736 + ... + 368464.

It is an arithmetic number, because the mean of its divisors is an integer number (320820240).

Almost surely, 2^14505000400 is an apocalyptic number.

14505000400 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 14505000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19249214400).

14505000400 is an abundant number, since it is smaller than the sum of its proper divisors (23993428400).

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

14505000400 is a wasteful number, since it uses less digits than its factorization.

14505000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41837 (or 41826 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

Adding to 14505000400 its reverse (400050541), we get a palindrome (14905050941).

The spelling of 14505000400 in words is "fourteen billion, five hundred five million, four hundred", and thus it is an aban number.