422041951584 has 960 divisors, whose sum is σ = 1493410830912. Its totient is φ = 115458048000.

The previous prime is 422041951561. The next prime is 422041951613. The reversal of 422041951584 is 485159140224.

422041951584 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 4 + 19 + 51 + 584 = 666.

It is a congruent number.

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, 1811338732 + ... + 1811338964.

Almost surely, 2^422041951584 is an apocalyptic number.

422041951584 is a gapful number since it is divisible by the number (44) 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 422041951584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746705415456).

422041951584 is an abundant number, since it is smaller than the sum of its proper divisors (1071368879328).

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

422041951584 is a wasteful number, since it uses less digits than its factorization.

422041951584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 422041951584 in words is "four hundred twenty-two billion, forty-one million, nine hundred fifty-one thousand, five hundred eighty-four".