444034132224012 has 288 divisors, whose sum is σ = 1277519000808960. Its totient is φ = 128807602560000.

The previous prime is 444034132223999. The next prime is 444034132224077. The reversal of 444034132224012 is 210422231430444.

444034132224012 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 3 + 413 + 2 + 224 + 0 + 12 = 666.

It is a super-2 number, since 2×444034132224012² (a number of 30 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 903212023 + ... + 903703505.

It is an arithmetic number, because the mean of its divisors is an integer number (4435829863920).

Almost surely, 2^{444034132224012} 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 444034132224012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638759500404480).

444034132224012 is an abundant number, since it is smaller than the sum of its proper divisors (833484868584948).

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

444034132224012 is a wasteful number, since it uses less digits than its factorization.

444034132224012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492205 (or 492200 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 444034132224012 its reverse (210422231430444), we get a palindrome (654456363654456).

The spelling of 444034132224012 in words is "four hundred forty-four trillion, thirty-four billion, one hundred thirty-two million, two hundred twenty-four thousand, twelve".