42000033000024 has 288 divisors, whose sum is σ = 132424015389120. Its totient is φ = 11975166720000.

The previous prime is 42000033000001. The next prime is 42000033000053.

42000033000024 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 42000032999970 and 42000033000006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 537726574 + ... + 537804674.

It is an arithmetic number, because the mean of its divisors is an integer number (459805608990).

Almost surely, 2^{42000033000024} is an apocalyptic number.

42000033000024 is a gapful number since it is divisible by the number (44) 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 42000033000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66212007694560).

42000033000024 is an abundant number, since it is smaller than the sum of its proper divisors (90423982389096).

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

42000033000024 is a wasteful number, since it uses less digits than its factorization.

42000033000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81783 (or 81765 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

It can be divided in two parts, 4200003 and 3000024, that added together give a palindrome (7200027).

The spelling of 42000033000024 in words is "forty-two trillion, thirty-three million, twenty-four", and thus it is an aban number.