1919791067040 has 1152 divisors, whose sum is σ = 8271974430720. Its totient is φ = 393871564800.

The previous prime is 1919791067027. The next prime is 1919791067053. The reversal of 1919791067040 is 407601979191.

It is an interprime number because it is at equal distance from previous prime (1919791067027) and next prime (1919791067053).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3909961195 + ... + 3909961685.

It is an arithmetic number, because the mean of its divisors is an integer number (7180533360).

Almost surely, 2^{1919791067040} is an apocalyptic number.

1919791067040 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 1919791067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135987215360).

1919791067040 is an abundant number, since it is smaller than the sum of its proper divisors (6352183363680).

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

1919791067040 is a wasteful number, since it uses less digits than its factorization.

1919791067040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 54.

The spelling of 1919791067040 in words is "one trillion, nine hundred nineteen billion, seven hundred ninety-one million, sixty-seven thousand, forty".