144442024334100 has 216 divisors, whose sum is σ = 464799238944768. Its totient is φ = 37500968313600.

The previous prime is 144442024334063. The next prime is 144442024334117. The reversal of 144442024334100 is 1433420244441.

144442024334100 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 202 + 4 + 33 + 410 + 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 71 ways as a sum of consecutive naturals, for example, 859719 + ... + 17018318.

It is an arithmetic number, because the mean of its divisors is an integer number (2151848328448).

Almost surely, 2^{144442024334100} is an apocalyptic number.

144442024334100 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 144442024334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232399619472384).

144442024334100 is an abundant number, since it is smaller than the sum of its proper divisors (320357214610668).

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

144442024334100 is a wasteful number, since it uses less digits than its factorization.

144442024334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17878295 (or 17878285 counting only the distinct ones).

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

Adding to 144442024334100 its reverse (1433420244441), we get a palindrome (145875444578541).

The spelling of 144442024334100 in words is "one hundred forty-four trillion, four hundred forty-two billion, twenty-four million, three hundred thirty-four thousand, one hundred".