541044440145 has 48 divisors (see below), whose sum is σ = 1033195310784. Its totient is φ = 259727280000.

The previous prime is 541044440141. The next prime is 541044440177.

541044440145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541044440145 - 2² = 541044440141 is a prime.

It is a super-3 number, since 3×541044440145³ (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (541044440141) 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 47 ways as a sum of consecutive naturals, for example, 5360991 + ... + 5460980.

It is an arithmetic number, because the mean of its divisors is an integer number (21524902308).

Almost surely, 2^541044440145 is an apocalyptic number.

541044440145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541044440145 is a deficient number, since it is larger than the sum of its proper divisors (492150870639).

541044440145 is a wasteful number, since it uses less digits than its factorization.

541044440145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10822094 (or 10822091 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 541044 and 440145, that added together give a palindrome (981189).

The spelling of 541044440145 in words is "five hundred forty-one billion, forty-four million, four hundred forty thousand, one hundred forty-five".