10442660200 has 192 divisors, whose sum is σ = 28376040960. Its totient is φ = 3500133120.

The previous prime is 10442660161. The next prime is 10442660201. The reversal of 10442660200 is 206624401.

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 (10442660201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15289059 + ... + 15289741.

It is an arithmetic number, because the mean of its divisors is an integer number (147791880).

Almost surely, 2^10442660200 is an apocalyptic number.

10442660200 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 10442660200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14188020480).

10442660200 is an abundant number, since it is smaller than the sum of its proper divisors (17933380760).

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

10442660200 is a wasteful number, since it uses less digits than its factorization.

10442660200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 10442660200 in words is "ten billion, four hundred forty-two million, six hundred sixty thousand, two hundred".