10040514105300 has 144 divisors (see below), whose sum is σ = 33207887475840. Its totient is φ = 2294473213440.

The previous prime is 10040514105217. The next prime is 10040514105301. The reversal of 10040514105300 is 350141504001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040514105301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9133666 + ... + 10173734.

Almost surely, 2^{10040514105300} is an apocalyptic number.

10040514105300 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 10040514105300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16603943737920).

10040514105300 is an abundant number, since it is smaller than the sum of its proper divisors (23167373370540).

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

10040514105300 is a wasteful number, since it uses less digits than its factorization.

10040514105300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044690 (or 1044683 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 10040514105300 its reverse (350141504001), we get a palindrome (10390655609301).

The spelling of 10040514105300 in words is "ten trillion, forty billion, five hundred fourteen million, one hundred five thousand, three hundred".