4242418142424 has 128 divisors (see below), whose sum is σ = 13354044065280. Its totient is φ = 1091016576000.

The previous prime is 4242418142423. The next prime is 4242418142483.

4242418142424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4242418142424² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242418142423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11178109 + ... + 11551404.

It is an arithmetic number, because the mean of its divisors is an integer number (104328469260).

Almost surely, 2^{4242418142424} is an apocalyptic number.

4242418142424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4242418142424 is an abundant number, since it is smaller than the sum of its proper divisors (9111625922856).

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

4242418142424 is a wasteful number, since it uses less digits than its factorization.

4242418142424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22729641 (or 22729637 counting only the distinct ones).

The product of its digits is 524288, while the sum is 42.

The spelling of 4242418142424 in words is "four trillion, two hundred forty-two billion, four hundred eighteen million, one hundred forty-two thousand, four hundred twenty-four".