422018780040 has 768 divisors, whose sum is σ = 1720016363520. Its totient is φ = 88159518720.

The previous prime is 422018780039. The next prime is 422018780069. The reversal of 422018780040 is 40087810224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 422018779977 and 422018780004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111143422 + ... + 111147218.

It is an arithmetic number, because the mean of its divisors is an integer number (2239604640).

Almost surely, 2^422018780040 is an apocalyptic number.

422018780040 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 422018780040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860008181760).

422018780040 is an abundant number, since it is smaller than the sum of its proper divisors (1297997583480).

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

422018780040 is a wasteful number, since it uses less digits than its factorization.

422018780040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 422018780040 in words is "four hundred twenty-two billion, eighteen million, seven hundred eighty thousand, forty".