10642371443200 has 960 divisors, whose sum is σ = 34408960185600. Its totient is φ = 3173724979200.

The previous prime is 10642371443191. The next prime is 10642371443227. The reversal of 10642371443200 is 234417324601.

10642371443200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10642371443200² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10642371443200.

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, 1186568316 + ... + 1186577284.

It is an arithmetic number, because the mean of its divisors is an integer number (35842666860).

Almost surely, 2^{10642371443200} is an apocalyptic number.

10642371443200 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 10642371443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204480092800).

10642371443200 is an abundant number, since it is smaller than the sum of its proper divisors (23766588742400).

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

10642371443200 is a wasteful number, since it uses less digits than its factorization.

10642371443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9081 (or 9060 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

Adding to 10642371443200 its reverse (234417324601), we get a palindrome (10876788767801).

The spelling of 10642371443200 in words is "ten trillion, six hundred forty-two billion, three hundred seventy-one million, four hundred forty-three thousand, two hundred".