10408819545280 has 112 divisors (see below), whose sum is σ = 26706980067264. Its totient is φ = 3841188433920.

The previous prime is 10408819545233. The next prime is 10408819545287. The reversal of 10408819545280 is 8254591880401.

It is a super-3 number, since 3×10408819545280³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10408819545287) 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, 7069509 + ... + 8414011.

It is an arithmetic number, because the mean of its divisors is an integer number (238455179172).

Almost surely, 2^{10408819545280} is an apocalyptic number.

10408819545280 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 10408819545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13353490033632).

10408819545280 is an abundant number, since it is smaller than the sum of its proper divisors (16298160521984).

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

10408819545280 is a wasteful number, since it uses less digits than its factorization.

10408819545280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346394 (or 1346384 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 55.

The spelling of 10408819545280 in words is "ten trillion, four hundred eight billion, eight hundred nineteen million, five hundred forty-five thousand, two hundred eighty".