42420233202424 has 64 divisors (see below), whose sum is σ = 99168810105600. Its totient is φ = 16526592153600.

The previous prime is 42420233202367. The next prime is 42420233202439.

42420233202424 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42420233202424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11690139 + ... + 14882869.

It is an arithmetic number, because the mean of its divisors is an integer number (1549512657900).

Almost surely, 2^{42420233202424} is an apocalyptic number.

42420233202424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42420233202424 is an abundant number, since it is smaller than the sum of its proper divisors (56748576903176).

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

42420233202424 is a wasteful number, since it uses less digits than its factorization.

42420233202424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214324 (or 3214320 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

It can be divided in two parts, 4242023 and 3202424, that added together give a palindrome (7444447).

The spelling of 42420233202424 in words is "forty-two trillion, four hundred twenty billion, two hundred thirty-three million, two hundred two thousand, four hundred twenty-four".