4100401201 has 12 divisors (see below), whose sum is σ = 4447987020. Its totient is φ = 3778245120.

The previous prime is 4100401183. The next prime is 4100401211. The reversal of 4100401201 is 1021040014.

4100401201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 948701601 + 3151699600 = 30801^2 + 56140^2 .

It is not a de Polignac number, because 4100401201 - 2⁷ = 4100401073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4100401211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74841 + ... + 117481.

It is an arithmetic number, because the mean of its divisors is an integer number (370665585).

Almost surely, 2^4100401201 is an apocalyptic number.

It is an amenable number.

4100401201 is a deficient number, since it is larger than the sum of its proper divisors (347585819).

4100401201 is a wasteful number, since it uses less digits than its factorization.

4100401201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43236 (or 43223 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 4100401201 is about 64034.3751511639. The cubic root of 4100401201 is about 1600.5728679114.

Adding to 4100401201 its reverse (1021040014), we get a palindrome (5121441215).

The spelling of 4100401201 in words is "four billion, one hundred million, four hundred one thousand, two hundred one".