14401134450 has 192 divisors, whose sum is σ = 40966128000. Its totient is φ = 3717239040.

The previous prime is 14401134403. The next prime is 14401134457. The reversal of 14401134450 is 5443110441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14401134457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11437921 + ... + 11439179.

It is an arithmetic number, because the mean of its divisors is an integer number (213365250).

Almost surely, 2^14401134450 is an apocalyptic number.

14401134450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14401134450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20483064000).

14401134450 is an abundant number, since it is smaller than the sum of its proper divisors (26564993550).

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

14401134450 is a wasteful number, since it uses less digits than its factorization.

14401134450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14401134450 its reverse (5443110441), we get a palindrome (19844244891).

The spelling of 14401134450 in words is "fourteen billion, four hundred one million, one hundred thirty-four thousand, four hundred fifty".