10442282400 has 576 divisors, whose sum is σ = 41847321600. Its totient is φ = 2491776000.

The previous prime is 10442282399. The next prime is 10442282443. The reversal of 10442282400 is 428224401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16869291 + ... + 16869909.

It is an arithmetic number, because the mean of its divisors is an integer number (72651600).

Almost surely, 2^10442282400 is an apocalyptic number.

10442282400 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 10442282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20923660800).

10442282400 is an abundant number, since it is smaller than the sum of its proper divisors (31405039200).

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

10442282400 is a wasteful number, since it uses less digits than its factorization.

10442282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 10442282400 in words is "ten billion, four hundred forty-two million, two hundred eighty-two thousand, four hundred".