10144033404001 has 32 divisors (see below), whose sum is σ = 11977205310720. Its totient is φ = 8409673518336.

The previous prime is 10144033403887. The next prime is 10144033404013. The reversal of 10144033404001 is 10040433044101.

10144033404001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10144033404001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10144033404301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375872430 + ... + 375899416.

It is an arithmetic number, because the mean of its divisors is an integer number (374287665960).

Almost surely, 2^{10144033404001} is an apocalyptic number.

It is an amenable number.

10144033404001 is a deficient number, since it is larger than the sum of its proper divisors (1833171906719).

10144033404001 is a wasteful number, since it uses less digits than its factorization.

10144033404001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35593.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10144033404001 its reverse (10040433044101), we get a palindrome (20184466448102).

It can be divided in two parts, 1014403 and 3404001, that added together give a square (4418404 = 2102²).

The spelling of 10144033404001 in words is "ten trillion, one hundred forty-four billion, thirty-three million, four hundred four thousand, one".