10208808414 has 192 divisors, whose sum is σ = 28579599360. Its totient is φ = 2563384320.

The previous prime is 10208808413. The next prime is 10208808461. The reversal of 10208808414 is 41480880201.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10208808413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2887792 + ... + 2891324.

It is an arithmetic number, because the mean of its divisors is an integer number (148852080).

Almost surely, 2^10208808414 is an apocalyptic number.

10208808414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10208808414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14289799680).

10208808414 is an abundant number, since it is smaller than the sum of its proper divisors (18370790946).

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

10208808414 is a wasteful number, since it uses less digits than its factorization.

10208808414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 10208808414 in words is "ten billion, two hundred eight million, eight hundred eight thousand, four hundred fourteen".