422761372000 has 192 divisors, whose sum is σ = 1199812461120. Its totient is φ = 144688128000.

The previous prime is 422761371979. The next prime is 422761372043. The reversal of 422761372000 is 273167224.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 465406 + ... + 1030594.

It is an arithmetic number, because the mean of its divisors is an integer number (6249023235).

Almost surely, 2^422761372000 is an apocalyptic number.

422761372000 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 422761372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599906230560).

422761372000 is an abundant number, since it is smaller than the sum of its proper divisors (777051089120).

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

422761372000 is a wasteful number, since it uses less digits than its factorization.

422761372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565242 (or 565224 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The spelling of 422761372000 in words is "four hundred twenty-two billion, seven hundred sixty-one million, three hundred seventy-two thousand".