19168141440 has 384 divisors, whose sum is σ = 72073134720. Its totient is φ = 4319723520.

The previous prime is 19168141439. The next prime is 19168141441. The reversal of 19168141440 is 4414186191.

It is an interprime number because it is at equal distance from previous prime (19168141439) and next prime (19168141441).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (19168141441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6866445 + ... + 6869235.

It is an arithmetic number, because the mean of its divisors is an integer number (187690455).

Almost surely, 2^19168141440 is an apocalyptic number.

19168141440 is a gapful number since it is divisible by the number (10) 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 19168141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36036567360).

19168141440 is an abundant number, since it is smaller than the sum of its proper divisors (52904993280).

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

19168141440 is a wasteful number, since it uses less digits than its factorization.

19168141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 19168141440 in words is "nineteen billion, one hundred sixty-eight million, one hundred forty-one thousand, four hundred forty".