10627410920841 has 405 divisors, whose sum is σ = 20208004738383. Its totient is φ = 5558120156160.

The previous prime is 10627410920839. The next prime is 10627410920857. The reversal of 10627410920841 is 14802901472601.

The square root of 10627410920841 is 3259971.

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

10627410920841 is a `hidden beast` number, since 1 + 0 + 6 + 27 + 410 + 9 + 208 + 4 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 9955470042441 + 671940878400 = 3155229^2 + 819720^2 .

It is not a de Polignac number, because 10627410920841 - 2¹ = 10627410920839 is a prime.

It is a super-2 number, since 2×10627410920841² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10627410920831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 71324905435 + ... + 71324905583.

Almost surely, 2^{10627410920841} is an apocalyptic number.

10627410920841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10627410920841 is the 3259971-st square number.

10627410920841 is the 1629986-th centered octagonal number.

It is an amenable number.

10627410920841 is a deficient number, since it is larger than the sum of its proper divisors (9580593817542).

10627410920841 is a wasteful number, since it uses less digits than its factorization.

10627410920841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10627410920841 in words is "ten trillion, six hundred twenty-seven billion, four hundred ten million, nine hundred twenty thousand, eight hundred forty-one".