422963493120 has 1440 divisors, whose sum is σ = 1872143750400. Its totient is φ = 89006211072.

The previous prime is 422963493107. The next prime is 422963493193. The reversal of 422963493120 is 21394369224.

422963493120 is a `hidden beast` number, since 4 + 2 + 2 + 9 + 634 + 9 + 3 + 1 + 2 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 510208866 + ... + 510209694.

Almost surely, 2^422963493120 is an apocalyptic number.

422963493120 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 422963493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936071875200).

422963493120 is an abundant number, since it is smaller than the sum of its proper divisors (1449180257280).

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

422963493120 is a wasteful number, since it uses less digits than its factorization.

422963493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 422963493120 in words is "four hundred twenty-two billion, nine hundred sixty-three million, four hundred ninety-three thousand, one hundred twenty".