422413434000 has 320 divisors, whose sum is σ = 1592823648000. Its totient is φ = 106714713600.

The previous prime is 422413433993. The next prime is 422413434049. The reversal of 422413434000 is 434314224.

It is a happy number.

422413434000 is a `hidden beast` number, since 4 + 224 + 1 + 3 + 434 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 820146 + ... + 1231854.

It is an arithmetic number, because the mean of its divisors is an integer number (4977573900).

Almost surely, 2^422413434000 is an apocalyptic number.

422413434000 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 422413434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796411824000).

422413434000 is an abundant number, since it is smaller than the sum of its proper divisors (1170410214000).

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

422413434000 is a wasteful number, since it uses less digits than its factorization.

422413434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411760 (or 411738 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 422413434000 its reverse (434314224), we get a palindrome (422847748224).

The spelling of 422413434000 in words is "four hundred twenty-two billion, four hundred thirteen million, four hundred thirty-four thousand".