4001104040401 has 32 divisors (see below), whose sum is σ = 4712984084480. Its totient is φ = 3363646824000.

The previous prime is 4001104040393. The next prime is 4001104040407. The reversal of 4001104040401 is 1040404011004.

It is a cyclic number.

It is not a de Polignac number, because 4001104040401 - 2³ = 4001104040393 is a prime.

It is a super-2 number, since 2×4001104040401² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (4001104040407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574065 + ... + 2886478.

It is an arithmetic number, because the mean of its divisors is an integer number (147280752640).

Almost surely, 2^{4001104040401} is an apocalyptic number.

It is an amenable number.

4001104040401 is a deficient number, since it is larger than the sum of its proper divisors (711880044079).

4001104040401 is a wasteful number, since it uses less digits than its factorization.

4001104040401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460757.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 4001104040401 its reverse (1040404011004), we get a palindrome (5041508051405).

The spelling of 4001104040401 in words is "four trillion, one billion, one hundred four million, forty thousand, four hundred one".