10409656320 has 360 divisors, whose sum is σ = 41261254944. Its totient is φ = 2378170368.

The previous prime is 10409656297. The next prime is 10409656321. The reversal of 10409656320 is 2365690401.

It is a happy number.

10409656320 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 96 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10409656321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5159952 + ... + 5161968.

Almost surely, 2^10409656320 is an apocalyptic number.

10409656320 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 10409656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20630627472).

10409656320 is an abundant number, since it is smaller than the sum of its proper divisors (30851598624).

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

10409656320 is an equidigital number, since it uses as much as digits as its factorization.

10409656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10409656320 in words is "ten billion, four hundred nine million, six hundred fifty-six thousand, three hundred twenty".