10256341410 has 192 divisors, whose sum is σ = 31764096000. Its totient is φ = 2294103168.

The previous prime is 10256341367. The next prime is 10256341421. The reversal of 10256341410 is 1414365201.

It is a happy number.

10256341410 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 634 + 14 + 10 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1447356 + ... + 1454424.

It is an arithmetic number, because the mean of its divisors is an integer number (165438000).

Almost surely, 2^10256341410 is an apocalyptic number.

10256341410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10256341410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15882048000).

10256341410 is an abundant number, since it is smaller than the sum of its proper divisors (21507754590).

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

10256341410 is a wasteful number, since it uses less digits than its factorization.

10256341410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7150 (or 7133 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10256341410 in words is "ten billion, two hundred fifty-six million, three hundred forty-one thousand, four hundred ten".