20741422464000 has 3168 divisors, whose sum is σ = 93287044730880. Its totient is φ = 4577513472000.

The previous prime is 20741422463959. The next prime is 20741422464013. The reversal of 20741422464000 is 46422414702.

20741422464000 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 1 + 4 + 2 + 2 + 4 + 640 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47246975781 + ... + 47246976219.

It is an arithmetic number, because the mean of its divisors is an integer number (29446668160).

Almost surely, 2^{20741422464000} is an apocalyptic number.

20741422464000 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 20741422464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46643522365440).

20741422464000 is an abundant number, since it is smaller than the sum of its proper divisors (72545622266880).

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

20741422464000 is an equidigital number, since it uses as much as digits as its factorization.

20741422464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

Adding to 20741422464000 its reverse (46422414702), we get a palindrome (20787844878702).

The spelling of 20741422464000 in words is "twenty trillion, seven hundred forty-one billion, four hundred twenty-two million, four hundred sixty-four thousand".