14221045430400 has 768 divisors, whose sum is σ = 48643224491520. Its totient is φ = 3648872448000.

The previous prime is 14221045430321. The next prime is 14221045430407. The reversal of 14221045430400 is 403454012241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (14221045430407) 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, 15112693930 + ... + 15112694870.

It is an arithmetic number, because the mean of its divisors is an integer number (63337531890).

Almost surely, 2^{14221045430400} is an apocalyptic number.

14221045430400 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 14221045430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24321612245760).

14221045430400 is an abundant number, since it is smaller than the sum of its proper divisors (34422179061120).

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

14221045430400 is a wasteful number, since it uses less digits than its factorization.

14221045430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14221045430400 its reverse (403454012241), we get a palindrome (14624499442641).

The spelling of 14221045430400 in words is "fourteen trillion, two hundred twenty-one billion, forty-five million, four hundred thirty thousand, four hundred".