17402120320 has 256 divisors, whose sum is σ = 46747008000. Its totient is φ = 6151127040.

The previous prime is 17402120287. The next prime is 17402120327. The reversal of 17402120320 is 2302120471.

It is a junction number, because it is equal to n+sod(n) for n = 17402120291 and 17402120300.

It is not an unprimeable number, because it can be changed into a prime (17402120327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28112971 + ... + 28113589.

It is an arithmetic number, because the mean of its divisors is an integer number (182605500).

Almost surely, 2^17402120320 is an apocalyptic number.

17402120320 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 17402120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23373504000).

17402120320 is an abundant number, since it is smaller than the sum of its proper divisors (29344887680).

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

17402120320 is a wasteful number, since it uses less digits than its factorization.

17402120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 17402120320 its reverse (2302120471), we get a palindrome (19704240791).

The spelling of 17402120320 in words is "seventeen billion, four hundred two million, one hundred twenty thousand, three hundred twenty".