42144001830 has 384 divisors, whose sum is σ = 134855884800. Its totient is φ = 9114094080.

The previous prime is 42144001817. The next prime is 42144001843. The reversal of 42144001830 is 3810044124.

42144001830 is a `hidden beast` number, since 4 + 214 + 400 + 18 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (42144001817) and next prime (42144001843).

It is a super-2 number, since 2×42144001830² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42144001794 and 42144001803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44977122 + ... + 44978058.

It is an arithmetic number, because the mean of its divisors is an integer number (351187200).

Almost surely, 2^42144001830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42144001830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67427942400).

42144001830 is an abundant number, since it is smaller than the sum of its proper divisors (92711882970).

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

42144001830 is a wasteful number, since it uses less digits than its factorization.

42144001830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 42144001830 its reverse (3810044124), we get a palindrome (45954045954).

The spelling of 42144001830 in words is "forty-two billion, one hundred forty-four million, one thousand, eight hundred thirty".