14051200400 has 120 divisors (see below), whose sum is σ = 35839864584. Its totient is φ = 5275648000.

The previous prime is 14051200351. The next prime is 14051200409. The reversal of 14051200400 is 400215041.

It can be written as a sum of positive squares in 12 ways, for example, as 7054336 + 14044146064 = 2656^2 + 118508^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (14051200409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2724224 + ... + 2729376.

Almost surely, 2^14051200400 is an apocalyptic number.

14051200400 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 14051200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17919932292).

14051200400 is an abundant number, since it is smaller than the sum of its proper divisors (21788664184).

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

14051200400 is a wasteful number, since it uses less digits than its factorization.

14051200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5589 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 14051200400 its reverse (400215041), we get a palindrome (14451415441).

The spelling of 14051200400 in words is "fourteen billion, fifty-one million, two hundred thousand, four hundred".