10400009680 has 80 divisors (see below), whose sum is σ = 24432721920. Its totient is φ = 4116704256.

The previous prime is 10400009663. The next prime is 10400009681. The reversal of 10400009680 is 8690000401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400009681) 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, 4865572 + ... + 4867708.

It is an arithmetic number, because the mean of its divisors is an integer number (305409024).

Almost surely, 2^10400009680 is an apocalyptic number.

10400009680 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 10400009680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12216360960).

10400009680 is an abundant number, since it is smaller than the sum of its proper divisors (14032712240).

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

10400009680 is a wasteful number, since it uses less digits than its factorization.

10400009680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 10400009680 in words is "ten billion, four hundred million, nine thousand, six hundred eighty".