10412131440401 has 8 divisors (see below), whose sum is σ = 10518350792808. Its totient is φ = 10305973440000.

The previous prime is 10412131440371. The next prime is 10412131440407. The reversal of 10412131440401 is 10404413121401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4208246062801 + 6203885377600 = 2051401^2 + 2490760^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10412131440401 - 2¹⁴ = 10412131424017 is a prime.

It is a super-2 number, since 2×10412131440401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10412131440407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14996810 + ... + 15675731.

It is an arithmetic number, because the mean of its divisors is an integer number (1314793849101).

Almost surely, 2^{10412131440401} is an apocalyptic number.

It is an amenable number.

10412131440401 is a deficient number, since it is larger than the sum of its proper divisors (106219352407).

10412131440401 is a wasteful number, since it uses less digits than its factorization.

10412131440401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30676003.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 10412131440401 its reverse (10404413121401), we get a palindrome (20816544561802).

The spelling of 10412131440401 in words is "ten trillion, four hundred twelve billion, one hundred thirty-one million, four hundred forty thousand, four hundred one".