19742433108480 has 800 divisors, whose sum is σ = 73035352741824. Its totient is φ = 5093910872064.

The previous prime is 19742433108473. The next prime is 19742433108569. The reversal of 19742433108480 is 8480133424791.

19742433108480 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 24 + 33 + 108 + 480 = 666.

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 79 ways as a sum of consecutive naturals, for example, 954053014 + ... + 954073706.

Almost surely, 2^{19742433108480} is an apocalyptic number.

19742433108480 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 19742433108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36517676370912).

19742433108480 is an abundant number, since it is smaller than the sum of its proper divisors (53292919633344).

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

19742433108480 is a wasteful number, since it uses less digits than its factorization.

19742433108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20878 (or 20853 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 19742433108480 in words is "nineteen trillion, seven hundred forty-two billion, four hundred thirty-three million, one hundred eight thousand, four hundred eighty".