42020042130 has 288 divisors, whose sum is σ = 127483087680. Its totient is φ = 9511891200.

The previous prime is 42020042117. The next prime is 42020042143. The reversal of 42020042130 is 3124002024.

42020042130 is a `hidden beast` number, since 42 + 0 + 200 + 421 + 3 + 0 = 666.

42020042130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42020042117) and next prime (42020042143).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27589549 + ... + 27591071.

It is an arithmetic number, because the mean of its divisors is an integer number (442649610).

Almost surely, 2^42020042130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42020042130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63741543840).

42020042130 is an abundant number, since it is smaller than the sum of its proper divisors (85463045550).

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

42020042130 is a wasteful number, since it uses less digits than its factorization.

42020042130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42020042130 its reverse (3124002024), we get a palindrome (45144044154).

The spelling of 42020042130 in words is "forty-two billion, twenty million, forty-two thousand, one hundred thirty".