10340032320 has 140 divisors (see below), whose sum is σ = 36781406244. Its totient is φ = 2757335040.

The previous prime is 10340032291. The next prime is 10340032333. The reversal of 10340032320 is 2323004301.

10340032320 is a `hidden beast` number, since 1 + 0 + 340 + 0 + 3 + 2 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5846743296 + 4493289024 = 76464^2 + 67032^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10340032293 and 10340032302.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 173541 + ... + 225380.

Almost surely, 2^10340032320 is an apocalyptic number.

10340032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10340032320 is an abundant number, since it is smaller than the sum of its proper divisors (26441373924).

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

10340032320 is an equidigital number, since it uses as much as digits as its factorization.

10340032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398950 (or 398931 counting only the distinct ones).

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

Adding to 10340032320 its reverse (2323004301), we get a palindrome (12663036621).

The spelling of 10340032320 in words is "ten billion, three hundred forty million, thirty-two thousand, three hundred twenty".