10442767712 has 48 divisors (see below), whose sum is σ = 22166529840. Its totient is φ = 4814111232.

The previous prime is 10442767711. The next prime is 10442767721. The reversal of 10442767712 is 21776724401.

It is a self number, because there is not a number n which added to its sum of digits gives 10442767712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442767711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 353114 + ... + 381542.

It is an arithmetic number, because the mean of its divisors is an integer number (461802705).

Almost surely, 2^10442767712 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 10442767712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11083264920).

10442767712 is an abundant number, since it is smaller than the sum of its proper divisors (11723762128).

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

10442767712 is a wasteful number, since it uses less digits than its factorization.

10442767712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29335 (or 29327 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The spelling of 10442767712 in words is "ten billion, four hundred forty-two million, seven hundred sixty-seven thousand, seven hundred twelve".