422338042400904 has 640 divisors, whose sum is σ = 1469103004385280. Its totient is φ = 110709723801600.

The previous prime is 422338042400899. The next prime is 422338042400933. The reversal of 422338042400904 is 409004240833224.

It is a happy number.

422338042400904 is a `hidden beast` number, since 4 + 2 + 23 + 380 + 4 + 240 + 0 + 9 + 0 + 4 = 666.

It is a super-5 number, since 5×422338042400904⁵ (a number of 74 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 422338042400904.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 364883169 + ... + 366038799.

It is an arithmetic number, because the mean of its divisors is an integer number (2295473444352).

Almost surely, 2^{422338042400904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422338042400904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734551502192640).

422338042400904 is an abundant number, since it is smaller than the sum of its proper divisors (1046764961984376).

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

422338042400904 is a wasteful number, since it uses less digits than its factorization.

422338042400904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155823 (or 1155810 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 422338042400904 in words is "four hundred twenty-two trillion, three hundred thirty-eight billion, forty-two million, four hundred thousand, nine hundred four".