10408284441 has 27 divisors (see below), whose sum is σ = 15548980863. Its totient is φ = 6708900960.

The previous prime is 10408284431. The next prime is 10408284457. The reversal of 10408284441 is 14448280401.

The square root of 10408284441 is 102021.

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., 2959904025 + 7448380416 = 54405^2 + 86304^2 .

It is not a de Polignac number, because 10408284441 - 2¹¹ = 10408282393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10408284396 and 10408284405.

It is not an unprimeable number, because it can be changed into a prime (10408284401) 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, 9487405 + ... + 9488501.

Almost surely, 2^10408284441 is an apocalyptic number.

10408284441 is the 102021-st square number.

10408284441 is the 51011-st centered octagonal number.

It is an amenable number.

10408284441 is a deficient number, since it is larger than the sum of its proper divisors (5140696422).

10408284441 is an frugal number, since it uses more digits than its factorization.

10408284441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Multiplying 10408284441 by its sum of digits (36), we get a square (374698239876 = 612126²).

It can be divided in two parts, 10408 and 284441, that added together give a square (294849 = 543²).

The spelling of 10408284441 in words is "ten billion, four hundred eight million, two hundred eighty-four thousand, four hundred forty-one".