42002220024 has 96 divisors (see below), whose sum is σ = 115935362400. Its totient is φ = 13733763840.

The previous prime is 42002219927. The next prime is 42002220041.

42002220024 is a `hidden beast` number, since 420 + 0 + 2 + 220 + 0 + 24 = 666.

42002220024 is nontrivially palindromic in base 10.

42002220024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 42002219979 and 42002220006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1625397 + ... + 1651035.

It is an arithmetic number, because the mean of its divisors is an integer number (1207660025).

Almost surely, 2^42002220024 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 42002220024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57967681200).

42002220024 is an abundant number, since it is smaller than the sum of its proper divisors (73933142376).

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

42002220024 is a wasteful number, since it uses less digits than its factorization.

42002220024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26085 (or 26078 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The spelling of 42002220024 in words is "forty-two billion, two million, two hundred twenty thousand, twenty-four".