42225633652224 has 720 divisors, whose sum is σ = 134683852775472. Its totient is φ = 11697979392000.

The previous prime is 42225633652201. The next prime is 42225633652253.

42225633652224 is nontrivially palindromic in base 10.

42225633652224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70258957524 + ... + 70258958124.

Almost surely, 2^{42225633652224} is an apocalyptic number.

42225633652224 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 42225633652224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67341926387736).

42225633652224 is an abundant number, since it is smaller than the sum of its proper divisors (92458219123248).

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

42225633652224 is an equidigital number, since it uses as much as digits as its factorization.

42225633652224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 671 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

It can be divided in two parts, 4222563 and 3652224, that added together give a palindrome (7874787).

The spelling of 42225633652224 in words is "forty-two trillion, two hundred twenty-five billion, six hundred thirty-three million, six hundred fifty-two thousand, two hundred twenty-four".