42002820024 has 192 divisors, whose sum is σ = 121310555520. Its totient is φ = 12094790400.

The previous prime is 42002820017. The next prime is 42002820037.

42002820024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42002819976 and 42002820003.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4615719 + ... + 4624809.

It is an arithmetic number, because the mean of its divisors is an integer number (631825810).

Almost surely, 2^42002820024 is an apocalyptic number.

42002820024 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 42002820024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60655277760).

42002820024 is an abundant number, since it is smaller than the sum of its proper divisors (79307735496).

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

42002820024 is a wasteful number, since it uses less digits than its factorization.

42002820024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9202 (or 9187 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 42002820024 in words is "forty-two billion, two million, eight hundred twenty thousand, twenty-four".