10010410414401 has 8 divisors (see below), whose sum is σ = 13347289913760. Its totient is φ = 6673568928992.

The previous prime is 10010410414357. The next prime is 10010410414423. The reversal of 10010410414401 is 10441401401001.

10010410414401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10010410414401 - 2⁹ = 10010410413889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010410414201) 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, 8883255 + ... + 9946508.

It is an arithmetic number, because the mean of its divisors is an integer number (1668411239220).

Almost surely, 2^{10010410414401} is an apocalyptic number.

It is an amenable number.

10010410414401 is a deficient number, since it is larger than the sum of its proper divisors (3336879499359).

10010410414401 is a wasteful number, since it uses less digits than its factorization.

10010410414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19006975.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 10010410414401 its reverse (10441401401001), we get a palindrome (20451811815402).

The spelling of 10010410414401 in words is "ten trillion, ten billion, four hundred ten million, four hundred fourteen thousand, four hundred one".