42229592464900 has 27 divisors (see below), whose sum is σ = 91638356664981. Its totient is φ = 16891810992240.

The previous prime is 42229592464867. The next prime is 42229592464903. The reversal of 42229592464900 is 946429592224.

It is a happy number.

The square root of 42229592464900 is 6498430.

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

42229592464900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 15202653287364 + 27026939177536 = 3899058^2 + 5198744^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42229592464903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64659379 + ... + 65309221.

Almost surely, 2^{42229592464900} is an apocalyptic number.

42229592464900 is the 6498430-th square number.

It is an amenable number.

42229592464900 is an abundant number, since it is smaller than the sum of its proper divisors (49408764200081).

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

42229592464900 is an frugal number, since it uses more digits than its factorization.

42229592464900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299700 (or 649850 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 58.

The spelling of 42229592464900 in words is "forty-two trillion, two hundred twenty-nine billion, five hundred ninety-two million, four hundred sixty-four thousand, nine hundred".