14146112400 has 240 divisors, whose sum is σ = 51877762944. Its totient is φ = 3227811840.

The previous prime is 14146112363. The next prime is 14146112401. The reversal of 14146112400 is 421164141.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×14146112400² (a number of 21 digits) contains 22 as substring.

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 (14146112401) 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, 6693744 + ... + 6695856.

Almost surely, 2^14146112400 is an apocalyptic number.

14146112400 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 14146112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25938881472).

14146112400 is an abundant number, since it is smaller than the sum of its proper divisors (37731650544).

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

14146112400 is a wasteful number, since it uses less digits than its factorization.

14146112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2927 counting only the distinct ones).

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

Adding to 14146112400 its reverse (421164141), we get a palindrome (14567276541).

The spelling of 14146112400 in words is "fourteen billion, one hundred forty-six million, one hundred twelve thousand, four hundred".