10414441401 has 32 divisors (see below), whose sum is σ = 17679701760. Its totient is φ = 5303902464.

The previous prime is 10414441397. The next prime is 10414441409.

10414441401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10414441401 - 2² = 10414441397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10414441409) 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, 649810 + ... + 665643.

It is an arithmetic number, because the mean of its divisors is an integer number (552490680).

Almost surely, 2^10414441401 is an apocalyptic number.

It is an amenable number.

10414441401 is a deficient number, since it is larger than the sum of its proper divisors (7265260359).

10414441401 is a wasteful number, since it uses less digits than its factorization.

10414441401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315505.

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 10414441401 in words is "ten billion, four hundred fourteen million, four hundred forty-one thousand, four hundred one".