42430255203424 has 144 divisors (see below), whose sum is σ = 96706068963840. Its totient is φ = 18261097747200.

The previous prime is 42430255203403. The next prime is 42430255203517.

42430255203424 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131010009 + ... + 131333479.

It is an arithmetic number, because the mean of its divisors is an integer number (671569923360).

Almost surely, 2^{42430255203424} is an apocalyptic number.

42430255203424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42430255203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48353034481920).

42430255203424 is an abundant number, since it is smaller than the sum of its proper divisors (54275813760416).

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

42430255203424 is a wasteful number, since it uses less digits than its factorization.

42430255203424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325305 (or 325286 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

It can be divided in two parts, 4243025 and 5203424, that added together give a palindrome (9446449).

The spelling of 42430255203424 in words is "forty-two trillion, four hundred thirty billion, two hundred fifty-five million, two hundred three thousand, four hundred twenty-four".