144104412223440 has 160 divisors (see below), whose sum is σ = 496399850519040. Its totient is φ = 38424730351104.

The previous prime is 144104412223411. The next prime is 144104412223529. The reversal of 144104412223440 is 44322214401441.

144104412223440 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 0 + 4 + 412 + 2 + 234 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 144104412223395 and 144104412223404.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24029689 + ... + 29421671.

It is an arithmetic number, because the mean of its divisors is an integer number (3102499065744).

Almost surely, 2^{144104412223440} is an apocalyptic number.

144104412223440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144104412223440 is an abundant number, since it is smaller than the sum of its proper divisors (352295438295600).

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

144104412223440 is a wasteful number, since it uses less digits than its factorization.

144104412223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404378 (or 5404366 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 144104412223440 its reverse (44322214401441), we get a palindrome (188426626624881).

The spelling of 144104412223440 in words is "one hundred forty-four trillion, one hundred four billion, four hundred twelve million, two hundred twenty-three thousand, four hundred forty".