10438913241 has 9 divisors (see below), whose sum is σ = 15078872991. Its totient is φ = 6959071152.

The previous prime is 10438913213. The next prime is 10438913263. The reversal of 10438913241 is 14231983401.

The square root of 10438913241 is 102171.

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

10438913241 is a `hidden beast` number, since 104 + 389 + 132 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8910416025 + 1528497216 = 94395^2 + 39096^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10438913241 - 2¹⁷ = 10438782169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10438913196 and 10438913205.

It is not an unprimeable number, because it can be changed into a prime (10438913041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 289485 + ... + 323541.

Almost surely, 2^10438913241 is an apocalyptic number.

10438913241 is the 102171-st square number.

10438913241 is the 51086-th centered octagonal number.

It is an amenable number.

10438913241 is a deficient number, since it is larger than the sum of its proper divisors (4639959750).

10438913241 is an frugal number, since it uses more digits than its factorization.

10438913241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68120 (or 34060 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 10438913241 by its sum of digits (36), we get a square (375800876676 = 613026²).

Multiplying 10438913241 by its product of nonzero digits (20736), we get a square (216461304965376 = 14712624²).

The spelling of 10438913241 in words is "ten billion, four hundred thirty-eight million, nine hundred thirteen thousand, two hundred forty-one".