424334242433424 has 160 divisors (see below), whose sum is σ = 1120412820240000. Its totient is φ = 138337220136960.

The previous prime is 424334242433399. The next prime is 424334242433429.

424334242433424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is not an unprimeable number, because it can be changed into a prime (424334242433429) 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, 3062146059 + ... + 3062284629.

It is an arithmetic number, because the mean of its divisors is an integer number (7002580126500).

Almost surely, 2^{424334242433424} 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 424334242433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560206410120000).

424334242433424 is an abundant number, since it is smaller than the sum of its proper divisors (696078577806576).

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

424334242433424 is a wasteful number, since it uses less digits than its factorization.

424334242433424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142433 (or 142427 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 48.

The spelling of 424334242433424 in words is "four hundred twenty-four trillion, three hundred thirty-four billion, two hundred forty-two million, four hundred thirty-three thousand, four hundred twenty-four".