42242633624224 has 48 divisors (see below), whose sum is σ = 90726189644160. Its totient is φ = 19201084226560.

The previous prime is 42242633624077. The next prime is 42242633624249.

42242633624224 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100564137 + ... + 100983319.

It is an arithmetic number, because the mean of its divisors is an integer number (1890128950920).

Almost surely, 2^{42242633624224} is an apocalyptic number.

42242633624224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42242633624224 is an abundant number, since it is smaller than the sum of its proper divisors (48483556019936).

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

42242633624224 is a wasteful number, since it uses less digits than its factorization.

42242633624224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705493 (or 705485 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 46.

It can be divided in two parts, 4224263 and 3624224, that added together give a palindrome (7848487).

The spelling of 42242633624224 in words is "forty-two trillion, two hundred forty-two billion, six hundred thirty-three million, six hundred twenty-four thousand, two hundred twenty-four".