10881746040 has 256 divisors, whose sum is σ = 37038435840. Its totient is φ = 2534400000.

The previous prime is 10881746033. The next prime is 10881746041. The reversal of 10881746040 is 4064718801.

It is a self number, because there is not a number n which added to its sum of digits gives 10881746040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10881746041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3624540 + ... + 3627540.

It is an arithmetic number, because the mean of its divisors is an integer number (144681390).

Almost surely, 2^10881746040 is an apocalyptic number.

10881746040 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 10881746040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18519217920).

10881746040 is an abundant number, since it is smaller than the sum of its proper divisors (26156689800).

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

10881746040 is a wasteful number, since it uses less digits than its factorization.

10881746040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 10881746040 in words is "ten billion, eight hundred eighty-one million, seven hundred forty-six thousand, forty".