14468415438400 has 1344 divisors, whose sum is σ = 47375950602240. Its totient is φ = 4216106188800.

The previous prime is 14468415438383. The next prime is 14468415438409. The reversal of 14468415438400 is 483451486441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14468415438409) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25975610922 + ... + 25975611478.

Almost surely, 2^{14468415438400} is an apocalyptic number.

14468415438400 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 14468415438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23687975301120).

14468415438400 is an abundant number, since it is smaller than the sum of its proper divisors (32907535163840).

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

14468415438400 is a wasteful number, since it uses less digits than its factorization.

14468415438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 52.

The spelling of 14468415438400 in words is "fourteen trillion, four hundred sixty-eight billion, four hundred fifteen million, four hundred thirty-eight thousand, four hundred".