10040285786880 has 144 divisors (see below), whose sum is σ = 32072700167424. Its totient is φ = 2676863692800.

The previous prime is 10040285786837. The next prime is 10040285786887. The reversal of 10040285786880 is 8868758204001.

It is a Cunningham number, because it is equal to 3168641²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 10040285786880.

It is not an unprimeable number, because it can be changed into a prime (10040285786887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18747787 + ... + 19275893.

It is an arithmetic number, because the mean of its divisors is an integer number (222727084496).

Almost surely, 2^{10040285786880} is an apocalyptic number.

10040285786880 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 10040285786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16036350083712).

10040285786880 is an abundant number, since it is smaller than the sum of its proper divisors (22032414380544).

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

10040285786880 is an equidigital number, since it uses as much as digits as its factorization.

10040285786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533082 (or 533068 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 57.

The spelling of 10040285786880 in words is "ten trillion, forty billion, two hundred eighty-five million, seven hundred eighty-six thousand, eight hundred eighty".