10044133144001 has 16 divisors (see below), whose sum is σ = 11070941027328. Its totient is φ = 9036393445200.

The previous prime is 10044133143991. The next prime is 10044133144009.

It is a happy number.

10044133144001 is nontrivially palindromic in base 10.

10044133144001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10044133144001 - 2¹⁴ = 10044133127617 is a prime.

It is a super-2 number, since 2×10044133144001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10044133144009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1221551 + ... + 4645476.

It is an arithmetic number, because the mean of its divisors is an integer number (691933814208).

Almost surely, 2^{10044133144001} is an apocalyptic number.

10044133144001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10044133144001 is a deficient number, since it is larger than the sum of its proper divisors (1026807883327).

10044133144001 is a wasteful number, since it uses less digits than its factorization.

10044133144001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5868652.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 1004413 and 3144001, that added together give a palindrome (4148414).

The spelling of 10044133144001 in words is "ten trillion, forty-four billion, one hundred thirty-three million, one hundred forty-four thousand, one".