422040040416 has 192 divisors, whose sum is σ = 1278455270400. Its totient is φ = 135352378368.

The previous prime is 422040040399. The next prime is 422040040421. The reversal of 422040040416 is 614040040224.

It is a happy number.

422040040416 is a `hidden beast` number, since 4 + 2 + 204 + 0 + 0 + 40 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 422040040416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2307796 + ... + 2483948.

It is an arithmetic number, because the mean of its divisors is an integer number (6658621200).

Almost surely, 2^422040040416 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 422040040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639227635200).

422040040416 is an abundant number, since it is smaller than the sum of its proper divisors (856415229984).

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

422040040416 is a wasteful number, since it uses less digits than its factorization.

422040040416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176278 (or 176264 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 422040040416 in words is "four hundred twenty-two billion, forty million, forty thousand, four hundred sixteen".