19242039680640 has 2688 divisors, whose sum is σ = 87237349056000. Its totient is φ = 4029465968640.

The previous prime is 19242039680627. The next prime is 19242039680653. The reversal of 19242039680640 is 4608693024291.

19242039680640 is a `hidden beast` number, since 1 + 9 + 242 + 0 + 396 + 8 + 0 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (19242039680627) and next prime (19242039680653).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 13465387446 + ... + 13465388874.

Almost surely, 2^{19242039680640} is an apocalyptic number.

19242039680640 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 19242039680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43618674528000).

19242039680640 is an abundant number, since it is smaller than the sum of its proper divisors (67995309375360).

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

19242039680640 is a wasteful number, since it uses less digits than its factorization.

19242039680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 19242039680640 in words is "nineteen trillion, two hundred forty-two billion, thirty-nine million, six hundred eighty thousand, six hundred forty".