42144132030 has 512 divisors, whose sum is σ = 148487012352. Its totient is φ = 7359897600.

The previous prime is 42144132011. The next prime is 42144132031. The reversal of 42144132030 is 3023144124.

It is a super-2 number, since 2×42144132030² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42144132031) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15824479 + ... + 15827141.

It is an arithmetic number, because the mean of its divisors is an integer number (290013696).

Almost surely, 2^42144132030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42144132030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74243506176).

42144132030 is an abundant number, since it is smaller than the sum of its proper divisors (106342880322).

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

42144132030 is a wasteful number, since it uses less digits than its factorization.

42144132030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42144132030 its reverse (3023144124), we get a palindrome (45167276154).

The spelling of 42144132030 in words is "forty-two billion, one hundred forty-four million, one hundred thirty-two thousand, thirty".