42221400412224 has 112 divisors (see below), whose sum is σ = 121877286278976. Its totient is φ = 12793211904000.

The previous prime is 42221400412207. The next prime is 42221400412267.

42221400412224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42221400412191 and 42221400412200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22711524 + ... + 24500124.

Almost surely, 2^{42221400412224} is an apocalyptic number.

42221400412224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42221400412224 is an abundant number, since it is smaller than the sum of its proper divisors (79655885866752).

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

42221400412224 is a wasteful number, since it uses less digits than its factorization.

42221400412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799804 (or 1799794 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 42221400 and 412224, that added together give a palindrome (42633624).

The spelling of 42221400412224 in words is "forty-two trillion, two hundred twenty-one billion, four hundred million, four hundred twelve thousand, two hundred twenty-four".