4004143434104 has 64 divisors (see below), whose sum is σ = 8203541552640. Its totient is φ = 1817123592960.

The previous prime is 4004143434061. The next prime is 4004143434131. The reversal of 4004143434104 is 4014343414004.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 143932004 + ... + 143959820.

It is an arithmetic number, because the mean of its divisors is an integer number (128180336760).

Almost surely, 2^{4004143434104} is an apocalyptic number.

4004143434104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4004143434104 is an abundant number, since it is smaller than the sum of its proper divisors (4199398118536).

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

4004143434104 is a wasteful number, since it uses less digits than its factorization.

4004143434104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30420 (or 30416 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4004143434104 its reverse (4014343414004), we get a palindrome (8018486848108).

The spelling of 4004143434104 in words is "four trillion, four billion, one hundred forty-three million, four hundred thirty-four thousand, one hundred four".