10340003440736 has 96 divisors (see below), whose sum is σ = 21089965438080. Its totient is φ = 4984355174400.

The previous prime is 10340003440727. The next prime is 10340003440787. The reversal of 10340003440736 is 63704430004301.

It is a junction number, because it is equal to n+sod(n) for n = 10340003440696 and 10340003440705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3377980646 + ... + 3377983706.

It is an arithmetic number, because the mean of its divisors is an integer number (219687139980).

Almost surely, 2^{10340003440736} is an apocalyptic number.

10340003440736 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 10340003440736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10544982719040).

10340003440736 is an abundant number, since it is smaller than the sum of its proper divisors (10749961997344).

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

10340003440736 is a wasteful number, since it uses less digits than its factorization.

10340003440736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7288 (or 7280 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 35.

The spelling of 10340003440736 in words is "ten trillion, three hundred forty billion, three million, four hundred forty thousand, seven hundred thirty-six".