10412958465 has 96 divisors (see below), whose sum is σ = 22254575616. Its totient is φ = 4386078720.

The previous prime is 10412958449. The next prime is 10412958467. The reversal of 10412958465 is 56485921401.

10412958465 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 2 + 9 + 584 + 65 = 666.

It is not a de Polignac number, because 10412958465 - 2⁴ = 10412958449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10412958465.

It is not an unprimeable number, because it can be changed into a prime (10412958467) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2622912 + ... + 2626878.

It is an arithmetic number, because the mean of its divisors is an integer number (231818496).

Almost surely, 2^10412958465 is an apocalyptic number.

10412958465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10412958465 is an abundant number, since it is smaller than the sum of its proper divisors (11841617151).

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

10412958465 is a wasteful number, since it uses less digits than its factorization.

10412958465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10412958465 in words is "ten billion, four hundred twelve million, nine hundred fifty-eight thousand, four hundred sixty-five".