10442401000 has 32 divisors (see below), whose sum is σ = 24435220680. Its totient is φ = 4176960000.

The previous prime is 10442400979. The next prime is 10442401003. The reversal of 10442401000 is 10424401.

10442401000 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 3178929924 + 7263471076 = 56382^2 + 85226^2 .

It is not an unprimeable number, because it can be changed into a prime (10442401003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5220201 + ... + 5222200.

Almost surely, 2^10442401000 is an apocalyptic number.

10442401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10442401000 is an abundant number, since it is smaller than the sum of its proper divisors (13992819680).

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

10442401000 is a wasteful number, since it uses less digits than its factorization.

10442401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10442422 (or 10442408 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10442401000 its reverse (10424401), we get a palindrome (10452825401).

The spelling of 10442401000 in words is "ten billion, four hundred forty-two million, four hundred one thousand".