14022111431400 has 192 divisors, whose sum is σ = 46038364606080. Its totient is φ = 3518292787200.

The previous prime is 14022111431359. The next prime is 14022111431401. The reversal of 14022111431400 is 413411122041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14022111431401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36703365 + ... + 37083435.

It is an arithmetic number, because the mean of its divisors is an integer number (239783148990).

Almost surely, 2^{14022111431400} is an apocalyptic number.

14022111431400 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 14022111431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23019182303040).

14022111431400 is an abundant number, since it is smaller than the sum of its proper divisors (32016253174680).

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

14022111431400 is a wasteful number, since it uses less digits than its factorization.

14022111431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383724 (or 383715 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14022111431400 its reverse (413411122041), we get a palindrome (14435522553441).

The spelling of 14022111431400 in words is "fourteen trillion, twenty-two billion, one hundred eleven million, four hundred thirty-one thousand, four hundred".