4444311133000 has 64 divisors (see below), whose sum is σ = 10400248750320. Its totient is φ = 1777628608000.

The previous prime is 4444311132991. The next prime is 4444311133043. The reversal of 4444311133000 is 3311134444.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 40835518084 + 4403475614916 = 202078^2 + 2098446^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4444311133000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20151324 + ... + 20370676.

Almost surely, 2^{4444311133000} is an apocalyptic number.

4444311133000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444311133000 is an abundant number, since it is smaller than the sum of its proper divisors (5955937617320).

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

4444311133000 is a wasteful number, since it uses less digits than its factorization.

4444311133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239635 (or 239621 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4444311133000 its reverse (3311134444), we get a palindrome (4447622267444).

The spelling of 4444311133000 in words is "four trillion, four hundred forty-four billion, three hundred eleven million, one hundred thirty-three thousand".