14443490181120 has 2304 divisors, whose sum is σ = 63924975636480. Its totient is φ = 2687710003200.

The previous prime is 14443490181091. The next prime is 14443490181151. The reversal of 14443490181120 is 2118109434441.

It is a happy number.

It is a super-2 number, since 2×14443490181120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80689889191 + ... + 80689889369.

It is an arithmetic number, because the mean of its divisors is an integer number (27745215120).

Almost surely, 2^{14443490181120} is an apocalyptic number.

14443490181120 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 14443490181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31962487818240).

14443490181120 is an abundant number, since it is smaller than the sum of its proper divisors (49481485455360).

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

14443490181120 is a wasteful number, since it uses less digits than its factorization.

14443490181120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 14443490181120 in words is "fourteen trillion, four hundred forty-three billion, four hundred ninety million, one hundred eighty-one thousand, one hundred twenty".