20422995769440 has 960 divisors, whose sum is σ = 83598760143360. Its totient is φ = 4659657891840.

The previous prime is 20422995769381. The next prime is 20422995769511. The reversal of 20422995769440 is 4496759922402.

20422995769440 is a `hidden beast` number, since 2 + 0 + 42 + 2 + 9 + 95 + 7 + 69 + 440 = 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, 588898021 + ... + 588932699.

It is an arithmetic number, because the mean of its divisors is an integer number (87082041816).

Almost surely, 2^{20422995769440} is an apocalyptic number.

20422995769440 is a gapful number since it is divisible by the number (20) 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 20422995769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41799380071680).

20422995769440 is an abundant number, since it is smaller than the sum of its proper divisors (63175764373920).

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

20422995769440 is an equidigital number, since it uses as much as digits as its factorization.

20422995769440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34749 (or 34717 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 20422995769440 in words is "twenty trillion, four hundred twenty-two billion, nine hundred ninety-five million, seven hundred sixty-nine thousand, four hundred forty".