444310040021101 has 16 divisors (see below), whose sum is σ = 471777351413760. Its totient is φ = 417264721645680.

The previous prime is 444310040021077. The next prime is 444310040021123. The reversal of 444310040021101 is 101120040013444.

It is a cyclic number.

It is not a de Polignac number, because 444310040021101 - 2⁴⁵ = 409125667932269 is a prime.

It is a super-2 number, since 2×444310040021101² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444310040021131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189609865 + ... + 191938846.

It is an arithmetic number, because the mean of its divisors is an integer number (29486084463360).

Almost surely, 2^{444310040021101} is an apocalyptic number.

It is an amenable number.

444310040021101 is a deficient number, since it is larger than the sum of its proper divisors (27467311392659).

444310040021101 is a wasteful number, since it uses less digits than its factorization.

444310040021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381549264.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 444310040021101 its reverse (101120040013444), we get a palindrome (545430080034545).

The spelling of 444310040021101 in words is "four hundred forty-four trillion, three hundred ten billion, forty million, twenty-one thousand, one hundred one".