42002920024 has 128 divisors (see below), whose sum is σ = 90196001280. Its totient is φ = 18198835200.

The previous prime is 42002920007. The next prime is 42002920031.

It is a happy number.

42002920024 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 26039442 + ... + 26041054.

It is an arithmetic number, because the mean of its divisors is an integer number (704656260).

Almost surely, 2^42002920024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42002920024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45098000640).

42002920024 is an abundant number, since it is smaller than the sum of its proper divisors (48193081256).

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

42002920024 is a wasteful number, since it uses less digits than its factorization.

42002920024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 42002920024 in words is "forty-two billion, two million, nine hundred twenty thousand, twenty-four".