14414117238400 has 768 divisors, whose sum is σ = 40562512404480. Its totient is φ = 5015678976000.

The previous prime is 14414117238397. The next prime is 14414117238487. The reversal of 14414117238400 is 483271141441.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 21104124459 + ... + 21104125141.

It is an arithmetic number, because the mean of its divisors is an integer number (52815771360).

Almost surely, 2^{14414117238400} is an apocalyptic number.

14414117238400 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 14414117238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20281256202240).

14414117238400 is an abundant number, since it is smaller than the sum of its proper divisors (26148395166080).

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

14414117238400 is a wasteful number, since it uses less digits than its factorization.

14414117238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

Adding to 14414117238400 its reverse (483271141441), we get a palindrome (14897388379841).

The spelling of 14414117238400 in words is "fourteen trillion, four hundred fourteen billion, one hundred seventeen million, two hundred thirty-eight thousand, four hundred".