4100204322401 has 24 divisors (see below), whose sum is σ = 4756075682400. Its totient is φ = 3504849036800.

The previous prime is 4100204322353. The next prime is 4100204322407. The reversal of 4100204322401 is 1042234020014.

It is not a de Polignac number, because 4100204322401 - 2¹⁸ = 4100204060257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4100204322407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2720006 + ... + 3949536.

It is an arithmetic number, because the mean of its divisors is an integer number (198169820100).

Almost surely, 2^{4100204322401} is an apocalyptic number.

It is an amenable number.

4100204322401 is a deficient number, since it is larger than the sum of its proper divisors (655871359999).

4100204322401 is a wasteful number, since it uses less digits than its factorization.

4100204322401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230625 (or 1230608 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 4100204322401 its reverse (1042234020014), we get a palindrome (5142438342415).

The spelling of 4100204322401 in words is "four trillion, one hundred billion, two hundred four million, three hundred twenty-two thousand, four hundred one".