10202408962641 has 81 divisors (see below), whose sum is σ = 17347754257041. Its totient is φ = 5761069953408.

The previous prime is 10202408962561. The next prime is 10202408962643. The reversal of 10202408962641 is 14626980420201.

It is a happy number.

The square root of 10202408962641 is 3194121.

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

10202408962641 is a `hidden beast` number, since 10 + 2 + 0 + 2 + 4 + 0 + 8 + 9 + 626 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3921671263041 + 6280737699600 = 1980321^2 + 2506140^2 .

It is not a de Polignac number, because 10202408962641 - 2⁹ = 10202408962129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10202408962643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5969811295 + ... + 5969813003.

Almost surely, 2^{10202408962641} is an apocalyptic number.

10202408962641 is the 3194121-st square number.

10202408962641 is the 1597061-st centered octagonal number.

It is an amenable number.

10202408962641 is a deficient number, since it is larger than the sum of its proper divisors (7145345294400).

10202408962641 is an frugal number, since it uses more digits than its factorization.

10202408962641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10202408962641 in words is "ten trillion, two hundred two billion, four hundred eight million, nine hundred sixty-two thousand, six hundred forty-one".