14421421300 has 216 divisors, whose sum is σ = 39230410968. Its totient is φ = 4555161600.

The previous prime is 14421421241. The next prime is 14421421307. The reversal of 14421421300 is 312412441.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1248350224 + 13173071076 = 35332^2 + 114774^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14421421307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2671404 + ... + 2676796.

It is an arithmetic number, because the mean of its divisors is an integer number (181622273).

Almost surely, 2^14421421300 is an apocalyptic number.

14421421300 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 14421421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19615205484).

14421421300 is an abundant number, since it is smaller than the sum of its proper divisors (24808989668).

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

14421421300 is a wasteful number, since it uses less digits than its factorization.

14421421300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5459 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14421421300 its reverse (312412441), we get a palindrome (14733833741).

The spelling of 14421421300 in words is "fourteen billion, four hundred twenty-one million, four hundred twenty-one thousand, three hundred".