10422345434144 has 192 divisors, whose sum is σ = 24590179418112. Its totient is φ = 4254371251200.

The previous prime is 10422345434141. The next prime is 10422345434177. The reversal of 10422345434144 is 44143454322401.

It is not an unprimeable number, because it can be changed into a prime (10422345434141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289387082 + ... + 289423094.

It is an arithmetic number, because the mean of its divisors is an integer number (128073851136).

Almost surely, 2^{10422345434144} is an apocalyptic number.

10422345434144 is a gapful number since it is divisible by the number (14) 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 10422345434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12295089709056).

10422345434144 is an abundant number, since it is smaller than the sum of its proper divisors (14167833983968).

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

10422345434144 is a wasteful number, since it uses less digits than its factorization.

10422345434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36719 (or 36711 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 41.

Adding to 10422345434144 its reverse (44143454322401), we get a palindrome (54565799756545).

The spelling of 10422345434144 in words is "ten trillion, four hundred twenty-two billion, three hundred forty-five million, four hundred thirty-four thousand, one hundred forty-four".