5334405444144 has 240 divisors, whose sum is σ = 17573295737088. Its totient is φ = 1478646379008.

The previous prime is 5334405444143. The next prime is 5334405444161. The reversal of 5334405444144 is 4414445044335.

5334405444144 is a `hidden beast` number, since 53 + 3 + 4 + 40 + 544 + 4 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5334405444144.

It is not an unprimeable number, because it can be changed into a prime (5334405444143) by changing a digit.

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, 12735619 + ... + 13147805.

Almost surely, 2^{5334405444144} 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 5334405444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8786647868544).

5334405444144 is an abundant number, since it is smaller than the sum of its proper divisors (12238890292944).

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

5334405444144 is a wasteful number, since it uses less digits than its factorization.

5334405444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412592 (or 412583 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

The spelling of 5334405444144 in words is "five trillion, three hundred thirty-four billion, four hundred five million, four hundred forty-four thousand, one hundred forty-four".