10442442400 has 108 divisors (see below), whose sum is σ = 27604783962. Its totient is φ = 3855621120.

The previous prime is 10442442341. The next prime is 10442442403. The reversal of 10442442400 is 424424401.

It can be written as a sum of positive squares in 9 ways, for example, as 2576171536 + 7866270864 = 50756^2 + 88692^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10442442403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96582 + ... + 173818.

Almost surely, 2^10442442400 is an apocalyptic number.

10442442400 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 10442442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13802391981).

10442442400 is an abundant number, since it is smaller than the sum of its proper divisors (17162341562).

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

10442442400 is a wasteful number, since it uses less digits than its factorization.

10442442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77283 (or 77257 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 10442442400 its reverse (424424401), we get a palindrome (10866866801).

The spelling of 10442442400 in words is "ten billion, four hundred forty-two million, four hundred forty-two thousand, four hundred".