422204278579200 has 2016 divisors, whose sum is σ = 1674369228010752. Its totient is φ = 101029773312000.

The previous prime is 422204278579189. The next prime is 422204278579207. The reversal of 422204278579200 is 2975872402224.

It is a happy number.

422204278579200 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 0 + 42 + 7 + 8 + 579 + 20 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (422204278579207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 360550194615 + ... + 360550195785.

It is an arithmetic number, because the mean of its divisors is an integer number (830540291672).

Almost surely, 2^{422204278579200} is an apocalyptic number.

422204278579200 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 422204278579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837184614005376).

422204278579200 is an abundant number, since it is smaller than the sum of its proper divisors (1252164949431552).

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

422204278579200 is a wasteful number, since it uses less digits than its factorization.

422204278579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 422204278579200 in words is "four hundred twenty-two trillion, two hundred four billion, two hundred seventy-eight million, five hundred seventy-nine thousand, two hundred".