10442016265504 has 96 divisors (see below), whose sum is σ = 21811242600000. Its totient is φ = 4903907942400.

The previous prime is 10442016265477. The next prime is 10442016265507. The reversal of 10442016265504 is 40556261024401.

10442016265504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10442016265507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1392450747 + ... + 1392458245.

It is an arithmetic number, because the mean of its divisors is an integer number (227200443750).

Almost surely, 2^{10442016265504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10442016265504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10905621300000).

10442016265504 is an abundant number, since it is smaller than the sum of its proper divisors (11369226334496).

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

10442016265504 is a wasteful number, since it uses less digits than its factorization.

10442016265504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12386 (or 12378 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 10442016265504 its reverse (40556261024401), we get a palindrome (50998277289905).

The spelling of 10442016265504 in words is "ten trillion, four hundred forty-two billion, sixteen million, two hundred sixty-five thousand, five hundred four".