10366613440 has 112 divisors (see below), whose sum is σ = 25508468160. Its totient is φ = 4010639360.

The previous prime is 10366613393. The next prime is 10366613449. The reversal of 10366613440 is 4431666301.

It is a junction number, because it is equal to n+sod(n) for n = 10366613396 and 10366613405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10366613449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1199856 + ... + 1208464.

It is an arithmetic number, because the mean of its divisors is an integer number (227754180).

Almost surely, 2^10366613440 is an apocalyptic number.

10366613440 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 10366613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12754234080).

10366613440 is an abundant number, since it is smaller than the sum of its proper divisors (15141854720).

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

10366613440 is an equidigital number, since it uses as much as digits as its factorization.

10366613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8750 (or 8740 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 10366613440 in words is "ten billion, three hundred sixty-six million, six hundred thirteen thousand, four hundred forty".