42244888844224 has 28 divisors (see below), whose sum is σ = 91450583238168. Its totient is φ = 19202222201600.

The previous prime is 42244888844201. The next prime is 42244888844227.

It is a happy number.

42244888844224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42244888844227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30003471487 + ... + 30003472894.

It is an arithmetic number, because the mean of its divisors is an integer number (3266092258506).

Almost surely, 2^{42244888844224} is an apocalyptic number.

42244888844224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42244888844224 is an abundant number, since it is smaller than the sum of its proper divisors (49205694393944).

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

42244888844224 is a wasteful number, since it uses less digits than its factorization.

42244888844224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60006944404 (or 60006944394 counting only the distinct ones).

The product of its digits is 268435456, while the sum is 64.

The spelling of 42244888844224 in words is "forty-two trillion, two hundred forty-four billion, eight hundred eighty-eight million, eight hundred forty-four thousand, two hundred twenty-four".