10040285786881 has 27 divisors (see below), whose sum is σ = 12210020044803. Its totient is φ = 8231368844160.

The previous prime is 10040285786837. The next prime is 10040285786887. The reversal of 10040285786881 is 18868758204001.

The square root of 10040285786881 is 3168641.

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

It can be written as a sum of positive squares in only one way, i.e., 9875677068481 + 164608718400 = 3142559^2 + 405720^2 .

It is not a de Polignac number, because 10040285786881 - 2⁷ = 10040285786753 is a prime.

It is a super-2 number, since 2×10040285786881² (a number of 27 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 510141361 + ... + 510161041.

Almost surely, 2^{10040285786881} is an apocalyptic number.

10040285786881 is the 3168641-st square number.

10040285786881 is the 1584321-st centered octagonal number.

It is an amenable number.

10040285786881 is a deficient number, since it is larger than the sum of its proper divisors (2169734257922).

10040285786881 is an frugal number, since it uses more digits than its factorization.

10040285786881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39422 (or 19711 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 58.

The spelling of 10040285786881 in words is "ten trillion, forty billion, two hundred eighty-five million, seven hundred eighty-six thousand, eight hundred eighty-one".