10052442400 has 288 divisors, whose sum is σ = 32952140928. Its totient is φ = 2891980800.

The previous prime is 10052442373. The next prime is 10052442403. The reversal of 10052442400 is 424425001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10052442403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 794524 + ... + 807076.

It is an arithmetic number, because the mean of its divisors is an integer number (114417156).

Almost surely, 2^10052442400 is an apocalyptic number.

10052442400 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 10052442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16476070464).

10052442400 is an abundant number, since it is smaller than the sum of its proper divisors (22899698528).

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

10052442400 is a wasteful number, since it uses less digits than its factorization.

10052442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12604 (or 12591 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 10052442400 its reverse (424425001), we get a palindrome (10476867401).

The spelling of 10052442400 in words is "ten billion, fifty-two million, four hundred forty-two thousand, four hundred".