144442230414300 has 324 divisors, whose sum is σ = 567176493677976. Its totient is φ = 30475723219200.

The previous prime is 144442230414289. The next prime is 144442230414347. The reversal of 144442230414300 is 3414032244441.

144442230414300 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 2 + 230 + 414 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 125401086 + ... + 126547685.

It is an arithmetic number, because the mean of its divisors is an integer number (1750544733574).

Almost surely, 2^{144442230414300} is an apocalyptic number.

144442230414300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144442230414300 is an abundant number, since it is smaller than the sum of its proper divisors (422734263263676).

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

144442230414300 is a wasteful number, since it uses less digits than its factorization.

144442230414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251948818 (or 251948801 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 144442230414300 its reverse (3414032244441), we get a palindrome (147856262658741).

The spelling of 144442230414300 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred thirty million, four hundred fourteen thousand, three hundred".