422141485363200 has 936 divisors, whose sum is σ = 1523219466568800. Its totient is φ = 111740033433600.

The previous prime is 422141485363151. The next prime is 422141485363243. The reversal of 422141485363200 is 2363584141224.

422141485363200 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 4 + 1 + 4 + 8 + 5 + 3 + 632 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 84546659904 + ... + 84546664896.

Almost surely, 2^{422141485363200} is an apocalyptic number.

422141485363200 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 422141485363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761609733284400).

422141485363200 is an abundant number, since it is smaller than the sum of its proper divisors (1101077981205600).

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

422141485363200 is a wasteful number, since it uses less digits than its factorization.

422141485363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5693 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 422141485363200 in words is "four hundred twenty-two trillion, one hundred forty-one billion, four hundred eighty-five million, three hundred sixty-three thousand, two hundred".