10516404040 has 32 divisors (see below), whose sum is σ = 24425199360. Its totient is φ = 4070865600.

The previous prime is 10516404013. The next prime is 10516404043. The reversal of 10516404040 is 4040461501.

10516404040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10516404040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10516403996 and 10516404014.

It is not an unprimeable number, because it can be changed into a prime (10516404043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4239246 + ... + 4241725.

It is an arithmetic number, because the mean of its divisors is an integer number (763287480).

Almost surely, 2^10516404040 is an apocalyptic number.

10516404040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10516404040 is an abundant number, since it is smaller than the sum of its proper divisors (13908795320).

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

10516404040 is a wasteful number, since it uses less digits than its factorization.

10516404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8481013 (or 8481009 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 10516404040 its reverse (4040461501), we get a palindrome (14556865541).

The spelling of 10516404040 in words is "ten billion, five hundred sixteen million, four hundred four thousand, forty".