422924277295296 has 1008 divisors, whose sum is σ = 1476013288329216. Its totient is φ = 119711790729216.

The previous prime is 422924277295283. The next prime is 422924277295343. The reversal of 422924277295296 is 692592772429224.

422924277295296 is a `hidden beast` number, since 4 + 2 + 2 + 9 + 2 + 4 + 2 + 77 + 29 + 529 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 77133733771 + ... + 77133739253.

It is an arithmetic number, because the mean of its divisors is an integer number (1464298897152).

Almost surely, 2^{422924277295296} 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 422924277295296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738006644164608).

422924277295296 is an abundant number, since it is smaller than the sum of its proper divisors (1053089011033920).

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

422924277295296 is a wasteful number, since it uses less digits than its factorization.

422924277295296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448 (or 6419 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 422924277295296 in words is "four hundred twenty-two trillion, nine hundred twenty-four billion, two hundred seventy-seven million, two hundred ninety-five thousand, two hundred ninety-six".