10442501280 has 288 divisors, whose sum is σ = 36984729600. Its totient is φ = 2680197120.

The previous prime is 10442501263. The next prime is 10442501353. The reversal of 10442501280 is 8210524401.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9954196 + ... + 9955244.

It is an arithmetic number, because the mean of its divisors is an integer number (128419200).

Almost surely, 2^10442501280 is an apocalyptic number.

10442501280 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 10442501280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18492364800).

10442501280 is an abundant number, since it is smaller than the sum of its proper divisors (26542228320).

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

10442501280 is a wasteful number, since it uses less digits than its factorization.

10442501280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 10442501280 in words is "ten billion, four hundred forty-two million, five hundred one thousand, two hundred eighty".