42200666600224 has 96 divisors (see below), whose sum is σ = 92754259545024. Its totient is φ = 18733816442880.

The previous prime is 42200666600173. The next prime is 42200666600293.

It is a happy number.

42200666600224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42200666600224² (a number of 28 digits) contains 22 as substring.

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, 131719972 + ... + 132039964.

It is an arithmetic number, because the mean of its divisors is an integer number (966190203594).

Almost surely, 2^{42200666600224} is an apocalyptic number.

42200666600224 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 42200666600224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46377129772512).

42200666600224 is an abundant number, since it is smaller than the sum of its proper divisors (50553592944800).

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

42200666600224 is a wasteful number, since it uses less digits than its factorization.

42200666600224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328770 (or 328762 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 42200666600224 in words is "forty-two trillion, two hundred billion, six hundred sixty-six million, six hundred thousand, two hundred twenty-four".