422288445600 has 1440 divisors, whose sum is σ = 1945373988096. Its totient is φ = 86858956800.

The previous prime is 422288445589. The next prime is 422288445679. The reversal of 422288445600 is 6544882224.

422288445600 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 8 + 84 + 4 + 560 + 0 = 666.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 177356410 + ... + 177358790.

Almost surely, 2^422288445600 is an apocalyptic number.

422288445600 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 422288445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972686994048).

422288445600 is an abundant number, since it is smaller than the sum of its proper divisors (1523085542496).

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

422288445600 is a wasteful number, since it uses less digits than its factorization.

422288445600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 422288445600 in words is "four hundred twenty-two billion, two hundred eighty-eight million, four hundred forty-five thousand, six hundred".