17130007440 has 320 divisors, whose sum is σ = 72620352000. Its totient is φ = 3614201856.

The previous prime is 17130007417. The next prime is 17130007513. The reversal of 17130007440 is 4470003171.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152986 + ... + 240134.

It is an arithmetic number, because the mean of its divisors is an integer number (226938600).

Almost surely, 2^17130007440 is an apocalyptic number.

17130007440 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 17130007440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36310176000).

17130007440 is an abundant number, since it is smaller than the sum of its proper divisors (55490344560).

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

17130007440 is a wasteful number, since it uses less digits than its factorization.

17130007440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87191 (or 87179 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 17130007440 in words is "seventeen billion, one hundred thirty million, seven thousand, four hundred forty".