4012221040401 has 48 divisors (see below), whose sum is σ = 6438309071040. Its totient is φ = 2213403696000.

The previous prime is 4012221040367. The next prime is 4012221040423. The reversal of 4012221040401 is 1040401222104.

4012221040401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4012221040401 - 2¹⁰ = 4012221039377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4012221040441) 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 47 ways as a sum of consecutive naturals, for example, 44720950 + ... + 44810576.

It is an arithmetic number, because the mean of its divisors is an integer number (134131438980).

Almost surely, 2^{4012221040401} is an apocalyptic number.

It is an amenable number.

4012221040401 is a deficient number, since it is larger than the sum of its proper divisors (2426088030639).

4012221040401 is a wasteful number, since it uses less digits than its factorization.

4012221040401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100174 (or 100167 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 4012221040401 its reverse (1040401222104), we get a palindrome (5052622262505).

The spelling of 4012221040401 in words is "four trillion, twelve billion, two hundred twenty-one million, forty thousand, four hundred one".