20442419712 has 560 divisors, whose sum is σ = 72133383168. Its totient is φ = 5703229440.

The previous prime is 20442419707. The next prime is 20442419717. The reversal of 20442419712 is 21791424402.

It is a happy number.

20442419712 is a `hidden beast` number, since 20 + 442 + 4 + 197 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20442419707) and next prime (20442419717).

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

It is not an unprimeable number, because it can be changed into a prime (20442419717) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 53374273 + ... + 53374655.

Almost surely, 2^20442419712 is an apocalyptic number.

20442419712 is a gapful number since it is divisible by the number (22) 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 20442419712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36066691584).

20442419712 is an abundant number, since it is smaller than the sum of its proper divisors (51690963456).

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

20442419712 is an equidigital number, since it uses as much as digits as its factorization.

20442419712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20442419712 in words is "twenty billion, four hundred forty-two million, four hundred nineteen thousand, seven hundred twelve".