11682040410000 has 225 divisors, whose sum is σ = 40857368901349. Its totient is φ = 3114937344000.

The previous prime is 11682040409987. The next prime is 11682040410011. The reversal of 11682040410000 is 1404028611.

It is a happy number.

The square root of 11682040410000 is 3417900.

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

It can be written as a sum of positive squares in 7 ways, for example, as 6182602682256 + 5499437727744 = 2486484^2 + 2345088^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1025364304 + ... + 1025375696.

Almost surely, 2^{11682040410000} is an apocalyptic number.

11682040410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11682040410000 is the 3417900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11682040410000

11682040410000 is an abundant number, since it is smaller than the sum of its proper divisors (29175328491349).

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

11682040410000 is an frugal number, since it uses more digits than its factorization.

11682040410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22820 (or 11403 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11682040410000 its reverse (1404028611), we get a palindrome (11683444438611).

The spelling of 11682040410000 in words is "eleven trillion, six hundred eighty-two billion, forty million, four hundred ten thousand".