14224600400 has 120 divisors (see below), whose sum is σ = 36451383480. Its totient is φ = 5315706880.

The previous prime is 14224600331. The next prime is 14224600409. The reversal of 14224600400 is 400642241.

It can be written as a sum of positive squares in 12 ways, for example, as 1829786176 + 12394814224 = 42776^2 + 111332^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224600409) 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, 923966 + ... + 939234.

It is an arithmetic number, because the mean of its divisors is an integer number (303761529).

Almost surely, 2^14224600400 is an apocalyptic number.

14224600400 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 14224600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18225691740).

14224600400 is an abundant number, since it is smaller than the sum of its proper divisors (22226783080).

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

14224600400 is a wasteful number, since it uses less digits than its factorization.

14224600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15441 (or 15430 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The spelling of 14224600400 in words is "fourteen billion, two hundred twenty-four million, six hundred thousand, four hundred".