10141110132444 has 168 divisors, whose sum is σ = 26720101447200. Its totient is φ = 3366185703552.

The previous prime is 10141110132437. The next prime is 10141110132449. The reversal of 10141110132444 is 44423101114101.

10141110132444 is a `hidden beast` number, since 1 + 0 + 1 + 411 + 1 + 0 + 1 + 3 + 244 + 4 = 666.

It is a super-2 number, since 2×10141110132444² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141110132449) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 811087897 + ... + 811100399.

It is an arithmetic number, because the mean of its divisors is an integer number (159048222900).

Almost surely, 2^{10141110132444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141110132444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13360050723600).

10141110132444 is an abundant number, since it is smaller than the sum of its proper divisors (16578991314756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10141110132444 is a wasteful number, since it uses less digits than its factorization.

10141110132444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13671 (or 13654 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10141110132444 its reverse (44423101114101), we get a palindrome (54564211246545).

The spelling of 10141110132444 in words is "ten trillion, one hundred forty-one billion, one hundred ten million, one hundred thirty-two thousand, four hundred forty-four".