4100013401 has 16 divisors (see below), whose sum is σ = 4835405760. Its totient is φ = 3435670080.

The previous prime is 4100013397. The next prime is 4100013409. The reversal of 4100013401 is 1043100014.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4100013401 - 2² = 4100013397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4100013409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257366 + ... + 272831.

It is an arithmetic number, because the mean of its divisors is an integer number (302212860).

Almost surely, 2^4100013401 is an apocalyptic number.

It is an amenable number.

4100013401 is a deficient number, since it is larger than the sum of its proper divisors (735392359).

4100013401 is a wasteful number, since it uses less digits than its factorization.

4100013401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530264.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4100013401 is about 64031.3470184721. The cubic root of 4100013401 is about 1600.5224076680.

Adding to 4100013401 its reverse (1043100014), we get a palindrome (5143113415).

The spelling of 4100013401 in words is "four billion, one hundred million, thirteen thousand, four hundred one".