42784440336 has 135 divisors (see below), whose sum is σ = 131695798143. Its totient is φ = 12956708160.

The previous prime is 42784440319. The next prime is 42784440367. The reversal of 42784440336 is 63304448724.

42784440336 = 11854² + 11855² + ... + 12150².

The square root of 42784440336 is 206844.

It is a perfect power (a square), and thus also a powerful number.

42784440336 is a `hidden beast` number, since 4 + 278 + 4 + 4 + 40 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42784440291 and 42784440300.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27302625 + ... + 27304191.

Almost surely, 2^42784440336 is an apocalyptic number.

42784440336 is the 206844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42784440336

42784440336 is an abundant number, since it is smaller than the sum of its proper divisors (88911357807).

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

42784440336 is a wasteful number, since it uses less digits than its factorization.

42784440336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 42784440336 in words is "forty-two billion, seven hundred eighty-four million, four hundred forty thousand, three hundred thirty-six".