19442049973920 has 960 divisors, whose sum is σ = 81329482080000. Its totient is φ = 4370985400320.

The previous prime is 19442049973861. The next prime is 19442049973937. The reversal of 19442049973920 is 2937994024491.

19442049973920 is a `hidden beast` number, since 1 + 94 + 4 + 2 + 0 + 499 + 7 + 39 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 271126231 + ... + 271197929.

It is an arithmetic number, because the mean of its divisors is an integer number (84718210500).

Almost surely, 2^{19442049973920} is an apocalyptic number.

19442049973920 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 19442049973920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40664741040000).

19442049973920 is an abundant number, since it is smaller than the sum of its proper divisors (61887432106080).

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

19442049973920 is an equidigital number, since it uses as much as digits as its factorization.

19442049973920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71808 (or 71777 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 19442049973920 in words is "nineteen trillion, four hundred forty-two billion, forty-nine million, nine hundred seventy-three thousand, nine hundred twenty".