10340512000 has 576 divisors, whose sum is σ = 32784321024. Its totient is φ = 3162931200.

The previous prime is 10340511997. The next prime is 10340512001. The reversal of 10340512000 is 21504301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10340512001) 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 63 ways as a sum of consecutive naturals, for example, 154335967 + ... + 154336033.

It is an arithmetic number, because the mean of its divisors is an integer number (56917224).

Almost surely, 2^10340512000 is an apocalyptic number.

10340512000 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 10340512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392160512).

10340512000 is an abundant number, since it is smaller than the sum of its proper divisors (22443809024).

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

10340512000 is an equidigital number, since it uses as much as digits as its factorization.

10340512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The spelling of 10340512000 in words is "ten billion, three hundred forty million, five hundred twelve thousand".