10408217856 has 144 divisors (see below), whose sum is σ = 28741910400. Its totient is φ = 3339771904.

The previous prime is 10408217851. The next prime is 10408217861. The reversal of 10408217856 is 65871280401.

It is an interprime number because it is at equal distance from previous prime (10408217851) and next prime (10408217861).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10408217851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12405085 + ... + 12405923.

It is an arithmetic number, because the mean of its divisors is an integer number (199596600).

Almost surely, 2^10408217856 is an apocalyptic number.

10408217856 is a gapful number since it is divisible by the number (16) 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 10408217856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370955200).

10408217856 is an abundant number, since it is smaller than the sum of its proper divisors (18333692544).

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

10408217856 is an equidigital number, since it uses as much as digits as its factorization.

10408217856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 10408217856 in words is "ten billion, four hundred eight million, two hundred seventeen thousand, eight hundred fifty-six".