10882081440000 has 405 divisors, whose sum is σ = 39221371622433. Its totient is φ = 2900832768000.

The previous prime is 10882081439989. The next prime is 10882081440017. The reversal of 10882081440000 is 4418028801.

It is a happy number.

The square root of 10882081440000 is 3298800.

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

10882081440000 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 208 + 1 + 440 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 10830838968576 + 51242471424 = 3291024^2 + 226368^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3958558626 + ... + 3958561374.

Almost surely, 2^{10882081440000} is an apocalyptic number.

10882081440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10882081440000 is the 3298800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10882081440000

10882081440000 is an abundant number, since it is smaller than the sum of its proper divisors (28339290182433).

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

10882081440000 is an frugal number, since it uses more digits than its factorization.

10882081440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5540 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

Multiplying 10882081440000 by its sum of digits (36), we get a square (391754931840000 = 19792800²).

10882081440000 divided by its sum of digits (36) gives a square (302280040000 = 549800²).

Adding to 10882081440000 its reverse (4418028801), we get a palindrome (10886499468801).

The spelling of 10882081440000 in words is "ten trillion, eight hundred eighty-two billion, eighty-one million, four hundred forty thousand".