14420441400 has 384 divisors, whose sum is σ = 49657536000. Its totient is φ = 3446876160.

The previous prime is 14420441393. The next prime is 14420441401. The reversal of 14420441400 is 414402441.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14420441401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17521389 + ... + 17522211.

It is an arithmetic number, because the mean of its divisors is an integer number (129316500).

Almost surely, 2^14420441400 is an apocalyptic number.

14420441400 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 14420441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24828768000).

14420441400 is an abundant number, since it is smaller than the sum of its proper divisors (35237094600).

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

14420441400 is a wasteful number, since it uses less digits than its factorization.

14420441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14420441400 its reverse (414402441), we get a palindrome (14834843841).

The spelling of 14420441400 in words is "fourteen billion, four hundred twenty million, four hundred forty-one thousand, four hundred".