4331400004001 has 12 divisors (see below), whose sum is σ = 5174744849748. Its totient is φ = 3612287260512.

The previous prime is 4331400003941. The next prime is 4331400004003. The reversal of 4331400004001 is 1004000041334.

It is a happy number.

4331400004001 is digitally balanced in base 2, 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 2 ways, for example, as 3642830304400 + 688569699601 = 1908620^2 + 829801^2 .

It is not a de Polignac number, because 4331400004001 - 2²⁶ = 4331332895137 is a prime.

It is a super-2 number, since 2×4331400004001² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4331400004003) 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, 1194537626 + ... + 1194541251.

It is an arithmetic number, because the mean of its divisors is an integer number (431228737479).

Almost surely, 2^{4331400004001} is an apocalyptic number.

It is an amenable number.

4331400004001 is a deficient number, since it is larger than the sum of its proper divisors (843344845747).

4331400004001 is a wasteful number, since it uses less digits than its factorization.

4331400004001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389078928 (or 2389078921 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 4331400004001 its reverse (1004000041334), we get a palindrome (5335400045335).

The spelling of 4331400004001 in words is "four trillion, three hundred thirty-one billion, four hundred million, four thousand, one".