17135093440 has 112 divisors (see below), whose sum is σ = 41401983744. Its totient is φ = 6754176000.

The previous prime is 17135093429. The next prime is 17135093471. The reversal of 17135093440 is 4439053171.

It is a super-2 number, since 2×17135093440² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 17135093440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6328567 + ... + 6331273.

Almost surely, 2^17135093440 is an apocalyptic number.

17135093440 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 17135093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20700991872).

17135093440 is an abundant number, since it is smaller than the sum of its proper divisors (24266890304).

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

17135093440 is a wasteful number, since it uses less digits than its factorization.

17135093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 17135093440 in words is "seventeen billion, one hundred thirty-five million, ninety-three thousand, four hundred forty".