42221322312224 has 48 divisors (see below), whose sum is σ = 93605043038976. Its totient is φ = 18572429164800.

The previous prime is 42221322312217. The next prime is 42221322312271.

42221322312224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1934617127 + ... + 1934638950.

It is an arithmetic number, because the mean of its divisors is an integer number (1950105063312).

Almost surely, 2^{42221322312224} is an apocalyptic number.

42221322312224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42221322312224 is an abundant number, since it is smaller than the sum of its proper divisors (51383720726752).

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

42221322312224 is a wasteful number, since it uses less digits than its factorization.

42221322312224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869256129 (or 3869256121 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 4222132 and 2312224, that added together give a palindrome (6534356).

The spelling of 42221322312224 in words is "forty-two trillion, two hundred twenty-one billion, three hundred twenty-two million, three hundred twelve thousand, two hundred twenty-four".