17280742983040 has 256 divisors, whose sum is σ = 44378956252800. Its totient is φ = 6411027087360.

The previous prime is 17280742983037. The next prime is 17280742983043. The reversal of 17280742983040 is 4038924708271.

It is an interprime number because it is at equal distance from previous prime (17280742983037) and next prime (17280742983043).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17280742983043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2253320326 + ... + 2253327994.

Almost surely, 2^{17280742983040} is an apocalyptic number.

17280742983040 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 17280742983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22189478126400).

17280742983040 is an abundant number, since it is smaller than the sum of its proper divisors (27098213269760).

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

17280742983040 is a wasteful number, since it uses less digits than its factorization.

17280742983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10693 (or 10681 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 17280742983040 in words is "seventeen trillion, two hundred eighty billion, seven hundred forty-two million, nine hundred eighty-three thousand, forty".