10408939968 has 112 divisors (see below), whose sum is σ = 31704954624. Its totient is φ = 2952222720.

The previous prime is 10408939963. The next prime is 10408939973. The reversal of 10408939968 is 86993980401.

It is an interprime number because it is at equal distance from previous prime (10408939963) and next prime (10408939973).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10408939963) 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, 155863 + ... + 212393.

It is an arithmetic number, because the mean of its divisors is an integer number (283079952).

Almost surely, 2^10408939968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10408939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15852477312).

10408939968 is an abundant number, since it is smaller than the sum of its proper divisors (21296014656).

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

10408939968 is a wasteful number, since it uses less digits than its factorization.

10408939968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56690 (or 56680 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 10408939968 in words is "ten billion, four hundred eight million, nine hundred thirty-nine thousand, nine hundred sixty-eight".