10405417512 has 32 divisors (see below), whose sum is σ = 29729764800. Its totient is φ = 2972976384.

The previous prime is 10405417493. The next prime is 10405417553. The reversal of 10405417512 is 21571450401.

It is a self number, because there is not a number n which added to its sum of digits gives 10405417512.

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 7 ways as a sum of consecutive naturals, for example, 30968337 + ... + 30968672.

It is an arithmetic number, because the mean of its divisors is an integer number (929055150).

Almost surely, 2^10405417512 is an apocalyptic number.

10405417512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10405417512 is an abundant number, since it is smaller than the sum of its proper divisors (19324347288).

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

10405417512 is a wasteful number, since it uses less digits than its factorization.

10405417512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61937025 (or 61937021 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

Adding to 10405417512 its reverse (21571450401), we get a palindrome (31976867913).

The spelling of 10405417512 in words is "ten billion, four hundred five million, four hundred seventeen thousand, five hundred twelve".