42263036224 has 28 divisors (see below), whose sum is σ = 83872715668. Its totient is φ = 21129753600.

The previous prime is 42263036183. The next prime is 42263036227.

42263036224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 6855840000 + 35407196224 = 82800^2 + 188168^2 .

It is a super-2 number, since 2×42263036224² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42263036224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42263036227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1106404 + ... + 1143964.

It is an arithmetic number, because the mean of its divisors is an integer number (2995454131).

Almost surely, 2^42263036224 is an apocalyptic number.

It is an amenable number.

42263036224 is a deficient number, since it is larger than the sum of its proper divisors (41609679444).

42263036224 is a wasteful number, since it uses less digits than its factorization.

42263036224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55154 (or 55144 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 422630 and 36224, that added together give a palindrome (458854).

The spelling of 42263036224 in words is "forty-two billion, two hundred sixty-three million, thirty-six thousand, two hundred twenty-four".