422968129600 has 189 divisors, whose sum is σ = 1060260962151. Its totient is φ = 166075929600.

The previous prime is 422968129589. The next prime is 422968129637. The reversal of 422968129600 is 6921869224.

The square root of 422968129600 is 650360.

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

It can be written as a sum of positive squares in 4 ways, for example, as 57726789696 + 365241339904 = 240264^2 + 604352^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1847022286 + ... + 1847022514.

Almost surely, 2^422968129600 is an apocalyptic number.

422968129600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

422968129600 is the 650360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422968129600

422968129600 is an abundant number, since it is smaller than the sum of its proper divisors (637292832551).

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

422968129600 is an frugal number, since it uses more digits than its factorization.

422968129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

Multiplying 422968129600 by its sum of digits (49), we get a square (20725438350400 = 4552520²).

The spelling of 422968129600 in words is "four hundred twenty-two billion, nine hundred sixty-eight million, one hundred twenty-nine thousand, six hundred".