1919743327040 has 448 divisors, whose sum is σ = 5956922442240. Its totient is φ = 571751792640.

The previous prime is 1919743327031. The next prime is 1919743327129. The reversal of 1919743327040 is 407233479191.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 1919743327040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69298472 + ... + 69326168.

It is an arithmetic number, because the mean of its divisors is an integer number (13296701880).

Almost surely, 2^{1919743327040} is an apocalyptic number.

1919743327040 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 1919743327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978461221120).

1919743327040 is an abundant number, since it is smaller than the sum of its proper divisors (4037179115200).

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

1919743327040 is a wasteful number, since it uses less digits than its factorization.

1919743327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27858 (or 27848 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 50.

The spelling of 1919743327040 in words is "one trillion, nine hundred nineteen billion, seven hundred forty-three million, three hundred twenty-seven thousand, forty".