422772940800 has 1512 divisors, whose sum is σ = 1830488055552. Its totient is φ = 92897280000.

The previous prime is 422772940783. The next prime is 422772940819. The reversal of 422772940800 is 8049277224.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2799820725 + ... + 2799820875.

Almost surely, 2^422772940800 is an apocalyptic number.

422772940800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422772940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915244027776).

422772940800 is an abundant number, since it is smaller than the sum of its proper divisors (1407715114752).

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

422772940800 is a wasteful number, since it uses less digits than its factorization.

422772940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 422772940800 in words is "four hundred twenty-two billion, seven hundred seventy-two million, nine hundred forty thousand, eight hundred".