10041340320 has 144 divisors (see below), whose sum is σ = 37381230432. Its totient is φ = 2434260480.

The previous prime is 10041340313. The next prime is 10041340367. The reversal of 10041340320 is 2304314001.

Added to its reverse (2304314001) it gives a square (12345654321 = 111111²).

10041340320 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 340 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 10041340293 and 10041340302.

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 23 ways as a sum of consecutive naturals, for example, 301122 + ... + 332801.

It is an arithmetic number, because the mean of its divisors is an integer number (259591878).

Almost surely, 2^10041340320 is an apocalyptic number.

10041340320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10041340320 is an abundant number, since it is smaller than the sum of its proper divisors (27339890112).

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

10041340320 is a wasteful number, since it uses less digits than its factorization.

10041340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633955 (or 633944 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10041340320 its reverse (2304314001), we get a palindrome (12345654321).

The spelling of 10041340320 in words is "ten billion, forty-one million, three hundred forty thousand, three hundred twenty".