42277528224 has 144 divisors (see below), whose sum is σ = 122604378624. Its totient is φ = 13816051200.

The previous prime is 42277528207. The next prime is 42277528231. The reversal of 42277528224 is 42282577224.

It is a happy number.

It is a Cunningham number, because it is equal to 205615²-1.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×42277528224² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42277528224.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3695377 + ... + 3706799.

It is an arithmetic number, because the mean of its divisors is an integer number (851419296).

Almost surely, 2^42277528224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42277528224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61302189312).

42277528224 is an abundant number, since it is smaller than the sum of its proper divisors (80326850400).

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

42277528224 is a wasteful number, since it uses less digits than its factorization.

42277528224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11691 (or 11680 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 45.

The spelling of 42277528224 in words is "forty-two billion, two hundred seventy-seven million, five hundred twenty-eight thousand, two hundred twenty-four".