19941183249120 has 1440 divisors, whose sum is σ = 89937915217920. Its totient is φ = 4063983943680.

The previous prime is 19941183249089. The next prime is 19941183249173. The reversal of 19941183249120 is 2194238114991.

19941183249120 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 118 + 32 + 491 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×19941183249120³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 498123505 + ... + 498163535.

It is an arithmetic number, because the mean of its divisors is an integer number (62456885568).

Almost surely, 2^{19941183249120} is an apocalyptic number.

19941183249120 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 19941183249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44968957608960).

19941183249120 is an abundant number, since it is smaller than the sum of its proper divisors (69996731968800).

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

19941183249120 is a wasteful number, since it uses less digits than its factorization.

19941183249120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40118 (or 40084 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 19941183249120 in words is "nineteen trillion, nine hundred forty-one billion, one hundred eighty-three million, two hundred forty-nine thousand, one hundred twenty".