4321144441440 has 240 divisors, whose sum is σ = 15913085192928. Its totient is φ = 1102204882944.

The previous prime is 4321144441429. The next prime is 4321144441483. The reversal of 4321144441440 is 441444411234.

4321144441440 is a `hidden beast` number, since 4 + 32 + 1 + 144 + 4 + 41 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 4321144441395 and 4321144441404.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 6950217 + ... + 7546376.

Almost surely, 2^{4321144441440} is an apocalyptic number.

4321144441440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4321144441440 is an abundant number, since it is smaller than the sum of its proper divisors (11591940751488).

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

4321144441440 is a wasteful number, since it uses less digits than its factorization.

4321144441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14496643 (or 14496626 counting only the distinct ones).

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

Adding to 4321144441440 its reverse (441444411234), we get a palindrome (4762588852674).

The spelling of 4321144441440 in words is "four trillion, three hundred twenty-one billion, one hundred forty-four million, four hundred forty-one thousand, four hundred forty".