14213222434400 has 576 divisors, whose sum is σ = 39895211543040. Its totient is φ = 4894284595200.

The previous prime is 14213222434399. The next prime is 14213222434417. The reversal of 14213222434400 is 443422231241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11026548956 + ... + 11026550244.

It is an arithmetic number, because the mean of its divisors is an integer number (69262520040).

Almost surely, 2^{14213222434400} is an apocalyptic number.

14213222434400 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 14213222434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19947605771520).

14213222434400 is an abundant number, since it is smaller than the sum of its proper divisors (25681989108640).

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

14213222434400 is a wasteful number, since it uses less digits than its factorization.

14213222434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 14213222434400 its reverse (443422231241), we get a palindrome (14656644665641).

The spelling of 14213222434400 in words is "fourteen trillion, two hundred thirteen billion, two hundred twenty-two million, four hundred thirty-four thousand, four hundred".