4445133442344 has 192 divisors, whose sum is σ = 13827760128000. Its totient is φ = 1263676498560.

The previous prime is 4445133442331. The next prime is 4445133442423. The reversal of 4445133442344 is 4432443315444.

4445133442344 is a `hidden beast` number, since 4 + 4 + 45 + 133 + 442 + 34 + 4 = 666.

It is a super-2 number, since 2×4445133442344² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4445133442344.

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 47 ways as a sum of consecutive naturals, for example, 151639449 + ... + 151668759.

It is an arithmetic number, because the mean of its divisors is an integer number (72019584000).

Almost surely, 2^{4445133442344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4445133442344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6913880064000).

4445133442344 is an abundant number, since it is smaller than the sum of its proper divisors (9382626685656).

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

4445133442344 is a wasteful number, since it uses less digits than its factorization.

4445133442344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30828 (or 30821 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 45.

Adding to 4445133442344 its reverse (4432443315444), we get a palindrome (8877576757788).

The spelling of 4445133442344 in words is "four trillion, four hundred forty-five billion, one hundred thirty-three million, four hundred forty-two thousand, three hundred forty-four".