10201440401410 has 32 divisors (see below), whose sum is σ = 18594118149552. Its totient is φ = 4029342700800.

The previous prime is 10201440401357. The next prime is 10201440401431. The reversal of 10201440401410 is 1410404410201.

It can be written as a sum of positive squares in 8 ways, for example, as 7597867754929 + 2603572646481 = 2756423^2 + 1613559^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13162729 + ... + 13916188.

Almost surely, 2^{10201440401410} is an apocalyptic number.

10201440401410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10201440401410 is a deficient number, since it is larger than the sum of its proper divisors (8392677748142).

10201440401410 is a wasteful number, since it uses less digits than its factorization.

10201440401410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27079398.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10201440401410 its reverse (1410404410201), we get a palindrome (11611844811611).

The spelling of 10201440401410 in words is "ten trillion, two hundred one billion, four hundred forty million, four hundred one thousand, four hundred ten".