444024103021011 has 48 divisors (see below), whose sum is σ = 649049951047680. Its totient is φ = 292489803144000.

The previous prime is 444024103021007. The next prime is 444024103021073. The reversal of 444024103021011 is 110120301420444.

444024103021011 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 2 + 410 + 30 + 210 + 1 + 1 = 666.

It is not a de Polignac number, because 444024103021011 - 2² = 444024103021007 is a prime.

It is a super-2 number, since 2×444024103021011² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444024103011011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3654669181 + ... + 3654790673.

It is an arithmetic number, because the mean of its divisors is an integer number (13521873980160).

Almost surely, 2^{444024103021011} is an apocalyptic number.

444024103021011 is a deficient number, since it is larger than the sum of its proper divisors (205025848026669).

444024103021011 is a wasteful number, since it uses less digits than its factorization.

444024103021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134616 (or 134613 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 444024103021011 its reverse (110120301420444), we get a palindrome (554144404441455).

The spelling of 444024103021011 in words is "four hundred forty-four trillion, twenty-four billion, one hundred three million, twenty-one thousand, eleven".