10405168340 has 96 divisors (see below), whose sum is σ = 25580163840. Its totient is φ = 3481657344.

The previous prime is 10405168339. The next prime is 10405168381. The reversal of 10405168340 is 4386150401.

It is a junction number, because it is equal to n+sod(n) for n = 10405168297 and 10405168306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017332 + ... + 1027508.

It is an arithmetic number, because the mean of its divisors is an integer number (266460040).

Almost surely, 2^10405168340 is an apocalyptic number.

10405168340 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 10405168340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790081920).

10405168340 is an abundant number, since it is smaller than the sum of its proper divisors (15174995500).

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

10405168340 is a wasteful number, since it uses less digits than its factorization.

10405168340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10369 (or 10367 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 10405168340 in words is "ten billion, four hundred five million, one hundred sixty-eight thousand, three hundred forty".