10405313412 has 96 divisors (see below), whose sum is σ = 27124769280. Its totient is φ = 3083857920.

The previous prime is 10405313411. The next prime is 10405313423. The reversal of 10405313412 is 21431350401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10405313411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494988 + ... + 515580.

It is an arithmetic number, because the mean of its divisors is an integer number (282549680).

Almost surely, 2^10405313412 is an apocalyptic number.

10405313412 is a gapful number since it is divisible by the number (12) 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 10405313412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13562384640).

10405313412 is an abundant number, since it is smaller than the sum of its proper divisors (16719455868).

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

10405313412 is a wasteful number, since it uses less digits than its factorization.

10405313412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20733 (or 20731 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10405313412 its reverse (21431350401), we get a palindrome (31836663813).

The spelling of 10405313412 in words is "ten billion, four hundred five million, three hundred thirteen thousand, four hundred twelve".