422946893952000 has 5280 divisors, whose sum is σ = 1889581629057408. Its totient is φ = 92976906240000.

The previous prime is 422946893951999. The next prime is 422946893952007. The reversal of 422946893952000 is 259398649224.

422946893952000 is a `hidden beast` number, since 4 + 2 + 29 + 4 + 6 + 89 + 3 + 9 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422946893952007) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1863202175887 + ... + 1863202176113.

Almost surely, 2^{422946893952000} is an apocalyptic number.

422946893952000 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 422946893952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944790814528704).

422946893952000 is an abundant number, since it is smaller than the sum of its proper divisors (1466634735105408).

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

422946893952000 is a wasteful number, since it uses less digits than its factorization.

422946893952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 422946893952000 in words is "four hundred twenty-two trillion, nine hundred forty-six billion, eight hundred ninety-three million, nine hundred fifty-two thousand".