4034130114344 has 64 divisors (see below), whose sum is σ = 8738807601600. Its totient is φ = 1725477913600.

The previous prime is 4034130114341. The next prime is 4034130114359. The reversal of 4034130114344 is 4434110314304.

4034130114344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4034130114344.

It is not an unprimeable number, because it can be changed into a prime (4034130114341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7103342 + ... + 7650210.

It is an arithmetic number, because the mean of its divisors is an integer number (136543868775).

Almost surely, 2^{4034130114344} is an apocalyptic number.

4034130114344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4034130114344 is an abundant number, since it is smaller than the sum of its proper divisors (4704677487256).

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

4034130114344 is a wasteful number, since it uses less digits than its factorization.

4034130114344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551834 (or 551830 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 4034130114344 its reverse (4434110314304), we get a palindrome (8468240428648).

The spelling of 4034130114344 in words is "four trillion, thirty-four billion, one hundred thirty million, one hundred fourteen thousand, three hundred forty-four".