14422016400 has 240 divisors, whose sum is σ = 50874386688. Its totient is φ = 3463232000.

The previous prime is 14422016383. The next prime is 14422016417. The reversal of 14422016400 is 461022441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14422016383) and next prime (14422016417).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1407295 + ... + 1417505.

Almost surely, 2^14422016400 is an apocalyptic number.

14422016400 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 14422016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25437193344).

14422016400 is an abundant number, since it is smaller than the sum of its proper divisors (36452370288).

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

14422016400 is a wasteful number, since it uses less digits than its factorization.

14422016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10350 (or 10339 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14422016400 its reverse (461022441), we get a palindrome (14883038841).

The spelling of 14422016400 in words is "fourteen billion, four hundred twenty-two million, sixteen thousand, four hundred".