414411113201 has 16 divisors (see below), whose sum is σ = 433173453696. Its totient is φ = 395711412096.

The previous prime is 414411113189. The next prime is 414411113213. The reversal of 414411113201 is 102311114414.

It is an interprime number because it is at equal distance from previous prime (414411113189) and next prime (414411113213).

It is a cyclic number.

It is not a de Polignac number, because 414411113201 - 2³⁸ = 139533206257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414411112201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37760951 + ... + 37771923.

It is an arithmetic number, because the mean of its divisors is an integer number (27073340856).

Almost surely, 2^414411113201 is an apocalyptic number.

It is an amenable number.

414411113201 is a deficient number, since it is larger than the sum of its proper divisors (18762340495).

414411113201 is a wasteful number, since it uses less digits than its factorization.

414411113201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13672.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 414411113201 its reverse (102311114414), we get a palindrome (516722227615).

The spelling of 414411113201 in words is "four hundred fourteen billion, four hundred eleven million, one hundred thirteen thousand, two hundred one".