10409320748060 has 384 divisors, whose sum is σ = 27149880360960. Its totient is φ = 3308370739200.

The previous prime is 10409320747997. The next prime is 10409320748063. The reversal of 10409320748060 is 6084702390401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10409320748063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1122052142 + ... + 1122061418.

It is an arithmetic number, because the mean of its divisors is an integer number (70702813440).

Almost surely, 2^{10409320748060} is an apocalyptic number.

10409320748060 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 10409320748060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13574940180480).

10409320748060 is an abundant number, since it is smaller than the sum of its proper divisors (16740559612900).

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

10409320748060 is a wasteful number, since it uses less digits than its factorization.

10409320748060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9797 (or 9795 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 10409320748060 in words is "ten trillion, four hundred nine billion, three hundred twenty million, seven hundred forty-eight thousand, sixty".