19441944287712 has 504 divisors, whose sum is σ = 60421734824472. Its totient is φ = 6152886904320.

The previous prime is 19441944287663. The next prime is 19441944287723. The reversal of 19441944287712 is 21778244914491.

19441944287712 is a `hidden beast` number, since 1 + 9 + 4 + 4 + 194 + 428 + 7 + 7 + 12 = 666.

It is a super-3 number, since 3×19441944287712³ (a number of 41 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 19441944287712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1188156843 + ... + 1188173205.

It is an arithmetic number, because the mean of its divisors is an integer number (119884394493).

Almost surely, 2^{19441944287712} is an apocalyptic number.

19441944287712 is a gapful number since it is divisible by the number (12) 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 19441944287712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30210867412236).

19441944287712 is an abundant number, since it is smaller than the sum of its proper divisors (40979790536760).

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

19441944287712 is an equidigital number, since it uses as much as digits as its factorization.

19441944287712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16506 (or 16452 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 19441944287712 in words is "nineteen trillion, four hundred forty-one billion, nine hundred forty-four million, two hundred eighty-seven thousand, seven hundred twelve".