4104431433144 has 48 divisors (see below), whose sum is σ = 12704192532720. Its totient is φ = 1172694695040.

The previous prime is 4104431433143. The next prime is 4104431433149. The reversal of 4104431433144 is 4413341344014.

4104431433144 is a `hidden beast` number, since 4 + 1 + 0 + 4 + 4 + 314 + 331 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4104431433099 and 4104431433108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104431433143) 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, 4071856077 + ... + 4071857084.

It is an arithmetic number, because the mean of its divisors is an integer number (264670677765).

Almost surely, 2^{4104431433144} is an apocalyptic number.

It is an amenable number.

4104431433144 is an abundant number, since it is smaller than the sum of its proper divisors (8599761099576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4104431433144 is a wasteful number, since it uses less digits than its factorization.

4104431433144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8143713180 (or 8143713173 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 4104431433144 its reverse (4413341344014), we get a palindrome (8517772777158).

The spelling of 4104431433144 in words is "four trillion, one hundred four billion, four hundred thirty-one million, four hundred thirty-three thousand, one hundred forty-four".