42232233223224 has 192 divisors, whose sum is σ = 127466376317280. Its totient is φ = 12523948416000.

The previous prime is 42232233223217. The next prime is 42232233223259.

It is a happy number.

42232233223224 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 2 + 2 + 3 + 322 + 322 + 4 = 666.

42232233223224 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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7298794 + ... + 11736134.

Almost surely, 2^{42232233223224} is an apocalyptic number.

42232233223224 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 42232233223224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63733188158640).

42232233223224 is an abundant number, since it is smaller than the sum of its proper divisors (85234143094056).

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

42232233223224 is a wasteful number, since it uses less digits than its factorization.

42232233223224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4437622 (or 4437615 counting only the distinct ones).

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

It can be divided in two parts, 4223223 and 3223224, that added together give a palindrome (7446447).

The spelling of 42232233223224 in words is "forty-two trillion, two hundred thirty-two billion, two hundred thirty-three million, two hundred twenty-three thousand, two hundred twenty-four".