422556288000 has 1408 divisors, whose sum is σ = 1812865646592. Its totient is φ = 84787200000.

The previous prime is 422556287981. The next prime is 422556288053. The reversal of 422556288000 is 882655224.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 916607770 + ... + 916608230.

It is an arithmetic number, because the mean of its divisors is an integer number (1287546624).

Almost surely, 2^422556288000 is an apocalyptic number.

422556288000 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 422556288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906432823296).

422556288000 is an abundant number, since it is smaller than the sum of its proper divisors (1390309358592).

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

422556288000 is a wasteful number, since it uses less digits than its factorization.

422556288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 422556288000 in words is "four hundred twenty-two billion, five hundred fifty-six million, two hundred eighty-eight thousand".