42424442424 has 384 divisors, whose sum is σ = 146397888000. Its totient is φ = 10799557632.

The previous prime is 42424442407. The next prime is 42424442453.

42424442424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 33696307 + ... + 33697565.

It is an arithmetic number, because the mean of its divisors is an integer number (381244500).

Almost surely, 2^42424442424 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 42424442424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73198944000).

42424442424 is an abundant number, since it is smaller than the sum of its proper divisors (103973445576).

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

42424442424 is a wasteful number, since it uses less digits than its factorization.

42424442424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1460 counting only the distinct ones).

The product of its digits is 262144, while the sum is 36.

The spelling of 42424442424 in words is "forty-two billion, four hundred twenty-four million, four hundred forty-two thousand, four hundred twenty-four".