422009481600 has 1440 divisors, whose sum is σ = 1831898376000. Its totient is φ = 95382282240.

The previous prime is 422009481589. The next prime is 422009481611. The reversal of 422009481600 is 6184900224.

422009481600 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 0 + 9 + 48 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (422009481589) and next prime (422009481611).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1892419089 + ... + 1892419311.

It is an arithmetic number, because the mean of its divisors is an integer number (1272151650).

Almost surely, 2^422009481600 is an apocalyptic number.

422009481600 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 422009481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915949188000).

422009481600 is an abundant number, since it is smaller than the sum of its proper divisors (1409888894400).

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

422009481600 is a wasteful number, since it uses less digits than its factorization.

422009481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 422009481600 in words is "four hundred twenty-two billion, nine million, four hundred eighty-one thousand, six hundred".