1032401041 has 12 divisors (see below), whose sum is σ = 1271601828. Its totient is φ = 832860672.

The previous prime is 1032401011. The next prime is 1032401089. The reversal of 1032401041 is 1401042301.

It can be written as a sum of positive squares in 2 ways, for example, as 612315025 + 420086016 = 24745^2 + 20496^2 .

It is not a de Polignac number, because 1032401041 - 2⁵ = 1032401009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1032401011) 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 11 ways as a sum of consecutive naturals, for example, 618856 + ... + 620521.

It is an arithmetic number, because the mean of its divisors is an integer number (105966819).

Almost surely, 2^1032401041 is an apocalyptic number.

It is an amenable number.

1032401041 is a deficient number, since it is larger than the sum of its proper divisors (239200787).

1032401041 is a wasteful number, since it uses less digits than its factorization.

1032401041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239408 (or 1239401 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1032401041 is about 32130.9981326444. The cubic root of 1032401041 is about 1010.6857549228.

Adding to 1032401041 its reverse (1401042301), we get a palindrome (2433443342).

The spelling of 1032401041 in words is "one billion, thirty-two million, four hundred one thousand, forty-one".