10442531540 has 96 divisors (see below), whose sum is σ = 25624166400. Its totient is φ = 3500657280.

The previous prime is 10442531513. The next prime is 10442531549. The reversal of 10442531540 is 4513524401.

10442531540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442531549) 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 31 ways as a sum of consecutive naturals, for example, 1574351 + ... + 1580969.

It is an arithmetic number, because the mean of its divisors is an integer number (266918400).

Almost surely, 2^10442531540 is an apocalyptic number.

10442531540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10442531540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12812083200).

10442531540 is an abundant number, since it is smaller than the sum of its proper divisors (15181634860).

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

10442531540 is a wasteful number, since it uses less digits than its factorization.

10442531540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6885 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 10442531540 in words is "ten billion, four hundred forty-two million, five hundred thirty-one thousand, five hundred forty".