19191819812940 has 192 divisors, whose sum is σ = 59935028912640. Its totient is φ = 5098373280000.

The previous prime is 19191819812933. The next prime is 19191819812999. The reversal of 19191819812940 is 4921891819191.

19191819812940 is a `hidden beast` number, since 1 + 9 + 191 + 81 + 9 + 81 + 294 + 0 = 666.

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, 232499475 + ... + 232582005.

It is an arithmetic number, because the mean of its divisors is an integer number (312161608920).

Almost surely, 2^{19191819812940} is an apocalyptic number.

19191819812940 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 19191819812940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29967514456320).

19191819812940 is an abundant number, since it is smaller than the sum of its proper divisors (40743209099700).

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

19191819812940 is a wasteful number, since it uses less digits than its factorization.

19191819812940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84181 (or 84173 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 63.

The spelling of 19191819812940 in words is "nineteen trillion, one hundred ninety-one billion, eight hundred nineteen million, eight hundred twelve thousand, nine hundred forty".