42144000000 has 336 divisors, whose sum is σ = 140763823200. Its totient is φ = 11212800000.

The previous prime is 42143999993. The next prime is 42144000007. The reversal of 42144000000 is 44124.

It is an interprime number because it is at equal distance from previous prime (42143999993) and next prime (42144000007).

It is a super-2 number, since 2×42144000000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (42144000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 95999781 + ... + 96000219.

It is an arithmetic number, because the mean of its divisors is an integer number (418939950).

Almost surely, 2^42144000000 is an apocalyptic number.

42144000000 is a gapful number since it is divisible by the number (40) 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 42144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70381911600).

42144000000 is an abundant number, since it is smaller than the sum of its proper divisors (98619823200).

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

42144000000 is an frugal number, since it uses more digits than its factorization.

42144000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 42144000000 its reverse (44124), we get a palindrome (42144044124).

The spelling of 42144000000 in words is "forty-two billion, one hundred forty-four million", and thus it is an aban number.