1909191919104 has 240 divisors, whose sum is σ = 5805262457280. Its totient is φ = 602361999360.

The previous prime is 1909191919079. The next prime is 1909191919169. The reversal of 1909191919104 is 4019191919091.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103915039 + ... + 103933409.

It is an arithmetic number, because the mean of its divisors is an integer number (24188593572).

Almost surely, 2^{1909191919104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1909191919104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902631228640).

1909191919104 is an abundant number, since it is smaller than the sum of its proper divisors (3896070538176).

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

1909191919104 is a wasteful number, since it uses less digits than its factorization.

1909191919104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19601 (or 19582 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 54.

The spelling of 1909191919104 in words is "one trillion, nine hundred nine billion, one hundred ninety-one million, nine hundred nineteen thousand, one hundred four".