19440839334312 has 720 divisors, whose sum is σ = 62001634671900. Its totient is φ = 5683559270400.

The previous prime is 19440839334269. The next prime is 19440839334317. The reversal of 19440839334312 is 21343393804491.

19440839334312 is a `hidden beast` number, since 1 + 9 + 4 + 40 + 83 + 93 + 3 + 431 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11454258123396 + 7986581210916 = 3384414^2 + 2826054^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19440839334317) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 38194183114 + ... + 38194183622.

Almost surely, 2^{19440839334312} is an apocalyptic number.

19440839334312 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 19440839334312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31000817335950).

19440839334312 is an abundant number, since it is smaller than the sum of its proper divisors (42560795337588).

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

19440839334312 is a wasteful number, since it uses less digits than its factorization.

19440839334312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 19440839334312 in words is "nineteen trillion, four hundred forty billion, eight hundred thirty-nine million, three hundred thirty-four thousand, three hundred twelve".