1042442401 has 32 divisors (see below), whose sum is σ = 1416619008. Its totient is φ = 740715840.

The previous prime is 1042442393. The next prime is 1042442419.

1042442401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1042442401 - 2³ = 1042442393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1042442441) 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 31 ways as a sum of consecutive naturals, for example, 76810 + ... + 89356.

It is an arithmetic number, because the mean of its divisors is an integer number (44269344).

Almost surely, 2^1042442401 is an apocalyptic number.

1042442401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1042442401 is a deficient number, since it is larger than the sum of its proper divisors (374176607).

1042442401 is a wasteful number, since it uses less digits than its factorization.

1042442401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12661.

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1042442401 is about 32286.8766064480. The cubic root of 1042442401 is about 1013.9519060451.

It can be divided in two parts, 10424 and 42401, that added together give a palindrome (52825).

The spelling of 1042442401 in words is "one billion, forty-two million, four hundred forty-two thousand, four hundred one".