20444611761420 has 768 divisors, whose sum is σ = 78908138717184. Its totient is φ = 3821875200000.

The previous prime is 20444611761337. The next prime is 20444611761433. The reversal of 20444611761420 is 2416711644402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3524322520 + ... + 3524328320.

It is an arithmetic number, because the mean of its divisors is an integer number (102744972288).

Almost surely, 2^{20444611761420} is an apocalyptic number.

20444611761420 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 20444611761420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39454069358592).

20444611761420 is an abundant number, since it is smaller than the sum of its proper divisors (58463526955764).

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

20444611761420 is a wasteful number, since it uses less digits than its factorization.

20444611761420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7822 (or 7820 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 20444611761420 in words is "twenty trillion, four hundred forty-four billion, six hundred eleven million, seven hundred sixty-one thousand, four hundred twenty".