422804067840 has 1280 divisors, whose sum is σ = 1982984509440. Its totient is φ = 82669731840.

The previous prime is 422804067839. The next prime is 422804067859. The reversal of 422804067840 is 48760408224.

422804067840 is a `hidden beast` number, since 422 + 80 + 40 + 6 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90475744 + ... + 90480416.

It is an arithmetic number, because the mean of its divisors is an integer number (1549206648).

Almost surely, 2^422804067840 is an apocalyptic number.

422804067840 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 422804067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991492254720).

422804067840 is an abundant number, since it is smaller than the sum of its proper divisors (1560180441600).

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

422804067840 is a wasteful number, since it uses less digits than its factorization.

422804067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 422804067840 in words is "four hundred twenty-two billion, eight hundred four million, sixty-seven thousand, eight hundred forty".