42420002424 has 128 divisors (see below), whose sum is σ = 111405542400. Its totient is φ = 13446950400.

The previous prime is 42420002411. The next prime is 42420002453.

42420002424 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 = 42420002394 and 42420002403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7082359 + ... + 7088345.

It is an arithmetic number, because the mean of its divisors is an integer number (870355800).

Almost surely, 2^42420002424 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 42420002424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55702771200).

42420002424 is an abundant number, since it is smaller than the sum of its proper divisors (68985539976).

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

42420002424 is a wasteful number, since it uses less digits than its factorization.

42420002424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6213 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 4242000 and 2424, that added together give a palindrome (4244424).

The spelling of 42420002424 in words is "forty-two billion, four hundred twenty million, two thousand, four hundred twenty-four".