4001020401 has 16 divisors (see below), whose sum is σ = 6159649664. Its totient is φ = 2262726144.

The previous prime is 4001020393. The next prime is 4001020417. The reversal of 4001020401 is 1040201004.

It is not a de Polignac number, because 4001020401 - 2³ = 4001020393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4001020451) 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, 980050 + ... + 984123.

It is an arithmetic number, because the mean of its divisors is an integer number (384978104).

Almost surely, 2^4001020401 is an apocalyptic number.

It is an amenable number.

4001020401 is a deficient number, since it is larger than the sum of its proper divisors (2158629263).

4001020401 is a wasteful number, since it uses less digits than its factorization.

4001020401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964280.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4001020401 is about 63253.6196671779. The cubic root of 4001020401 is about 1587.5360226269.

Adding to 4001020401 its reverse (1040201004), we get a palindrome (5041221405).

The spelling of 4001020401 in words is "four billion, one million, twenty thousand, four hundred one".