14443400400 has 480 divisors, whose sum is σ = 55148053632. Its totient is φ = 3185049600.

The previous prime is 14443400399. The next prime is 14443400407. The reversal of 14443400400 is 400434441.

14443400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14443400400² (a number of 21 digits) contains 22 as substring.

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 (14443400407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12526224 + ... + 12527376.

Almost surely, 2^14443400400 is an apocalyptic number.

14443400400 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 14443400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27574026816).

14443400400 is an abundant number, since it is smaller than the sum of its proper divisors (40704653232).

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

14443400400 is a wasteful number, since it uses less digits than its factorization.

14443400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14443400400 its reverse (400434441), we get a palindrome (14843834841).

The spelling of 14443400400 in words is "fourteen billion, four hundred forty-three million, four hundred thousand, four hundred".