10409808837120 has 640 divisors, whose sum is σ = 41510306027520. Its totient is φ = 2162046074880.

The previous prime is 10409808837089. The next prime is 10409808837121. The reversal of 10409808837120 is 2173880890401.

10409808837120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (10409808837121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2447636914 + ... + 2447641166.

It is an arithmetic number, because the mean of its divisors is an integer number (64859853168).

Almost surely, 2^{10409808837120} is an apocalyptic number.

10409808837120 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 10409808837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20755153013760).

10409808837120 is an abundant number, since it is smaller than the sum of its proper divisors (31100497190400).

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

10409808837120 is a wasteful number, since it uses less digits than its factorization.

10409808837120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8436 (or 8420 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 10409808837120 in words is "ten trillion, four hundred nine billion, eight hundred eight million, eight hundred thirty-seven thousand, one hundred twenty".