10330344000 has 168 divisors, whose sum is σ = 36953619768. Its totient is φ = 2754739200.

The previous prime is 10330343963. The next prime is 10330344029. The reversal of 10330344000 is 44303301.

It can be written as a sum of positive squares in 4 ways, for example, as 2869530624 + 7460813376 = 53568^2 + 86376^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262 + ... + 143738.

Almost surely, 2^10330344000 is an apocalyptic number.

10330344000 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 10330344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18476809884).

10330344000 is an abundant number, since it is smaller than the sum of its proper divisors (26623275768).

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

10330344000 is a wasteful number, since it uses less digits than its factorization.

10330344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143510 (or 143487 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10330344000 its reverse (44303301), we get a palindrome (10374647301).

The spelling of 10330344000 in words is "ten billion, three hundred thirty million, three hundred forty-four thousand".