10414211241401 has 32 divisors (see below), whose sum is σ = 11800658534400. Its totient is φ = 9107956929280.

The previous prime is 10414211241331. The next prime is 10414211241443.

10414211241401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10414211241401 - 2²⁶ = 10414144132537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10414211241481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431879921 + ... + 431904033.

It is an arithmetic number, because the mean of its divisors is an integer number (368770579200).

Almost surely, 2^{10414211241401} is an apocalyptic number.

10414211241401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10414211241401 is a deficient number, since it is larger than the sum of its proper divisors (1386447292999).

10414211241401 is a wasteful number, since it uses less digits than its factorization.

10414211241401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38389.

The product of its (nonzero) digits is 1024, while the sum is 26.

It can be divided in two parts, 1041421 and 1241401, that added together give a palindrome (2282822).

The spelling of 10414211241401 in words is "ten trillion, four hundred fourteen billion, two hundred eleven million, two hundred forty-one thousand, four hundred one".