4041431404101 has 192 divisors, whose sum is σ = 7710952144896. Its totient is φ = 1982587622400.

The previous prime is 4041431404009. The next prime is 4041431404111. The reversal of 4041431404101 is 1014041341404.

4041431404101 is a `hidden beast` number, since 4 + 0 + 414 + 3 + 140 + 4 + 101 = 666.

4041431404101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4041431404101 - 2⁹ = 4041431403589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041431404111) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69714610 + ... + 69772556.

It is an arithmetic number, because the mean of its divisors is an integer number (40161209088).

Almost surely, 2^{4041431404101} is an apocalyptic number.

4041431404101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4041431404101 is a deficient number, since it is larger than the sum of its proper divisors (3669520740795).

4041431404101 is a wasteful number, since it uses less digits than its factorization.

4041431404101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58112 (or 58109 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4041431404101 its reverse (1014041341404), we get a palindrome (5055472745505).

The spelling of 4041431404101 in words is "four trillion, forty-one billion, four hundred thirty-one million, four hundred four thousand, one hundred one".