10409656960000 has 495 divisors, whose sum is σ = 26972324561259. Its totient is φ = 4014157824000.

The previous prime is 10409656959973. The next prime is 10409656960067. The reversal of 10409656960000 is 6965690401.

The square root of 10409656960000 is 3226400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 9021709075456 + 1387947884544 = 3003616^2 + 1178112^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 95501439946 + ... + 95501440054.

Almost surely, 2^{10409656960000} is an apocalyptic number.

10409656960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10409656960000 is the 3226400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10409656960000

10409656960000 is an abundant number, since it is smaller than the sum of its proper divisors (16562667601259).

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

10409656960000 is an frugal number, since it uses more digits than its factorization.

10409656960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 10409656960000 in words is "ten trillion, four hundred nine billion, six hundred fifty-six million, nine hundred sixty thousand".