19724043411072 has 3072 divisors, whose sum is σ = 83086432128000. Its totient is φ = 4475790950400.

The previous prime is 19724043410977. The next prime is 19724043411091. The reversal of 19724043411072 is 27011434042791.

19724043411072 is a `hidden beast` number, since 1 + 9 + 72 + 40 + 434 + 1 + 107 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 67317554158 + ... + 67317554450.

It is an arithmetic number, because the mean of its divisors is an integer number (27046364625).

Almost surely, 2^{19724043411072} is an apocalyptic number.

19724043411072 is a gapful number since it is divisible by the number (12) 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 19724043411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41543216064000).

19724043411072 is an abundant number, since it is smaller than the sum of its proper divisors (63362388716928).

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

19724043411072 is a wasteful number, since it uses less digits than its factorization.

19724043411072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 19724043411072 in words is "nineteen trillion, seven hundred twenty-four billion, forty-three million, four hundred eleven thousand, seventy-two".