10680440400 has 720 divisors, whose sum is σ = 45464125824. Its totient is φ = 2266398720.

The previous prime is 10680440377. The next prime is 10680440423. The reversal of 10680440400 is 404408601.

10680440400 is a `hidden beast` number, since 106 + 80 + 440 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10680440377) and next prime (10680440423).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10680440400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45838684 + ... + 45838916.

Almost surely, 2^10680440400 is an apocalyptic number.

10680440400 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 10680440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22732062912).

10680440400 is an abundant number, since it is smaller than the sum of its proper divisors (34783685424).

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

10680440400 is a wasteful number, since it uses less digits than its factorization.

10680440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 10680440400 in words is "ten billion, six hundred eighty million, four hundred forty thousand, four hundred".