17004420000 has 360 divisors, whose sum is σ = 63992044116. Its totient is φ = 4267008000.

The previous prime is 17004419941. The next prime is 17004420089. The reversal of 17004420000 is 2440071.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 310746384 + 16693673616 = 17628^2 + 129204^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3057222 + ... + 3062778.

Almost surely, 2^17004420000 is an apocalyptic number.

17004420000 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 17004420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31996022058).

17004420000 is an abundant number, since it is smaller than the sum of its proper divisors (46987624116).

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

17004420000 is a wasteful number, since it uses less digits than its factorization.

17004420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5610 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 17004420000 its reverse (2440071), we get a palindrome (17006860071).

The spelling of 17004420000 in words is "seventeen billion, four million, four hundred twenty thousand".