40131441 has 72 divisors (see below), whose sum is σ = 73465704. Its totient is φ = 20966400.

The previous prime is 40131437. The next prime is 40131449. The reversal of 40131441 is 14413104.

40131441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26471025 + 13660416 = 5145^2 + 3696^2 .

It is not a de Polignac number, because 40131441 - 2² = 40131437 is a prime.

It is a super-2 number, since 2×40131441² = 3221065113472962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 397291 + ... + 397391.

It is an arithmetic number, because the mean of its divisors is an integer number (1020357).

Almost surely, 2^40131441 is an apocalyptic number.

It is an amenable number.

40131441 is a deficient number, since it is larger than the sum of its proper divisors (33334263).

40131441 is a wasteful number, since it uses less digits than its factorization.

40131441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40131441 is about 6334.9381212448. The cubic root of 40131441 is about 342.3693813467.

Adding to 40131441 its reverse (14413104), we get a palindrome (54544545).

The spelling of 40131441 in words is "forty million, one hundred thirty-one thousand, four hundred forty-one".