10442662560 has 384 divisors, whose sum is σ = 40379109120. Its totient is φ = 2530621440.

The previous prime is 10442662553. The next prime is 10442662589. The reversal of 10442662560 is 6526624401.

10442662560 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 26 + 625 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3847764 + ... + 3850476.

It is an arithmetic number, because the mean of its divisors is an integer number (105153930).

Almost surely, 2^10442662560 is an apocalyptic number.

10442662560 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 10442662560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20189554560).

10442662560 is an abundant number, since it is smaller than the sum of its proper divisors (29936446560).

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

10442662560 is an equidigital number, since it uses as much as digits as its factorization.

10442662560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10442662560 in words is "ten billion, four hundred forty-two million, six hundred sixty-two thousand, five hundred sixty".