19468506119040 has 768 divisors, whose sum is σ = 73692133032960. Its totient is φ = 4696963891200.

The previous prime is 19468506119033. The next prime is 19468506119053. The reversal of 19468506119040 is 4091160586491.

19468506119040 is a `hidden beast` number, since 1 + 9 + 4 + 6 + 8 + 506 + 1 + 1 + 90 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16739901499 + ... + 16739902661.

It is an arithmetic number, because the mean of its divisors is an integer number (95953298220).

Almost surely, 2^{19468506119040} is an apocalyptic number.

19468506119040 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 19468506119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36846066516480).

19468506119040 is an abundant number, since it is smaller than the sum of its proper divisors (54223626913920).

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

19468506119040 is a wasteful number, since it uses less digits than its factorization.

19468506119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 19468506119040 in words is "nineteen trillion, four hundred sixty-eight billion, five hundred six million, one hundred nineteen thousand, forty".