42200001144 has 96 divisors (see below), whose sum is σ = 131031594720. Its totient is φ = 12019062528.

The previous prime is 42200001133. The next prime is 42200001169. The reversal of 42200001144 is 44110000224.

42200001144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27702 + ... + 291834.

It is an arithmetic number, because the mean of its divisors is an integer number (1364912445).

Almost surely, 2^42200001144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42200001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65515797360).

42200001144 is an abundant number, since it is smaller than the sum of its proper divisors (88831593576).

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

42200001144 is a wasteful number, since it uses less digits than its factorization.

42200001144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264469 (or 264462 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 42200001144 its reverse (44110000224), we get a palindrome (86310001368).

The spelling of 42200001144 in words is "forty-two billion, two hundred million, one thousand, one hundred forty-four".