14457332021120 has 256 divisors, whose sum is σ = 37390454323200. Its totient is φ = 5324575113216.

The previous prime is 14457332021113. The next prime is 14457332021129. The reversal of 14457332021120 is 2112023375441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14457332021129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1484473211 + ... + 1484482949.

It is an arithmetic number, because the mean of its divisors is an integer number (146056462200).

Almost surely, 2^{14457332021120} is an apocalyptic number.

14457332021120 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 14457332021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18695227161600).

14457332021120 is an abundant number, since it is smaller than the sum of its proper divisors (22933122302080).

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

14457332021120 is a wasteful number, since it uses less digits than its factorization.

14457332021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12725 (or 12713 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

Adding to 14457332021120 its reverse (2112023375441), we get a palindrome (16569355396561).

The spelling of 14457332021120 in words is "fourteen trillion, four hundred fifty-seven billion, three hundred thirty-two million, twenty-one thousand, one hundred twenty".