422227567944000 has 4704 divisors, whose sum is σ = 2042890504162560. Its totient is φ = 84370470912000.

The previous prime is 422227567943989. The next prime is 422227567944113. The reversal of 422227567944000 is 449765722224.

422227567944000 is a `hidden beast` number, since 4 + 2 + 2 + 22 + 75 + 67 + 94 + 400 + 0 = 666.

It is a super-2 number, since 2×422227567944000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 131085862390 + ... + 131085865610.

Almost surely, 2^{422227567944000} is an apocalyptic number.

422227567944000 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 422227567944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021445252081280).

422227567944000 is an abundant number, since it is smaller than the sum of its proper divisors (1620662936218560).

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

422227567944000 is a wasteful number, since it uses less digits than its factorization.

422227567944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 422227567944000 in words is "four hundred twenty-two trillion, two hundred twenty-seven billion, five hundred sixty-seven million, nine hundred forty-four thousand".