42228555582224 has 40 divisors (see below), whose sum is σ = 90385631080320. Its totient is φ = 18951825859200.

The previous prime is 42228555582203. The next prime is 42228555582229.

42228555582224 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42228555582224³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42228555582224.

It is not an unprimeable number, because it can be changed into a prime (42228555582229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1518561887 + ... + 1518589694.

It is an arithmetic number, because the mean of its divisors is an integer number (2259640777008).

Almost surely, 2^{42228555582224} is an apocalyptic number.

42228555582224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42228555582224 is an abundant number, since it is smaller than the sum of its proper divisors (48157075498096).

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

42228555582224 is a wasteful number, since it uses less digits than its factorization.

42228555582224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037151679 (or 3037151673 counting only the distinct ones).

The product of its digits is 40960000, while the sum is 56.

The spelling of 42228555582224 in words is "forty-two trillion, two hundred twenty-eight billion, five hundred fifty-five million, five hundred eighty-two thousand, two hundred twenty-four".