1011444144001 has 16 divisors (see below), whose sum is σ = 1088573326848. Its totient is φ = 936276307200.

The previous prime is 1011444143993. The next prime is 1011444144019. The reversal of 1011444144001 is 1004414441101.

It is a cyclic number.

It is not a de Polignac number, because 1011444144001 - 2³ = 1011444143993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011444144041) 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, 21175536 + ... + 21223246.

It is an arithmetic number, because the mean of its divisors is an integer number (68035832928).

Almost surely, 2^{1011444144001} is an apocalyptic number.

It is an amenable number.

1011444144001 is a deficient number, since it is larger than the sum of its proper divisors (77129182847).

1011444144001 is a wasteful number, since it uses less digits than its factorization.

1011444144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68232.

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 1011444144001 its reverse (1004414441101), we get a palindrome (2015858585102).

The spelling of 1011444144001 in words is "one trillion, eleven billion, four hundred forty-four million, one hundred forty-four thousand, one".