42433200233424 has 960 divisors, whose sum is σ = 164248192442880. Its totient is φ = 9869035438080.

The previous prime is 42433200233399. The next prime is 42433200233513.

42433200233424 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 3 + 200 + 23 + 3 + 424 = 666.

42433200233424 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1797319732 + ... + 1797343340.

It is an arithmetic number, because the mean of its divisors is an integer number (171091867128).

Almost surely, 2^{42433200233424} is an apocalyptic number.

42433200233424 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 42433200233424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82124096221440).

42433200233424 is an abundant number, since it is smaller than the sum of its proper divisors (121814992209456).

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

42433200233424 is a wasteful number, since it uses less digits than its factorization.

42433200233424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24028 (or 24019 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 42433200 and 233424, that added together give a palindrome (42666624).

The spelling of 42433200233424 in words is "forty-two trillion, four hundred thirty-three billion, two hundred million, two hundred thirty-three thousand, four hundred twenty-four".