4234034441040 has 80 divisors (see below), whose sum is σ = 13151810760000. Its totient is φ = 1126813142016.

The previous prime is 4234034441029. The next prime is 4234034441051. The reversal of 4234034441040 is 401444304324.

4234034441040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4234034441029) and next prime (4234034441051).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×4234034441040³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4234034440992 and 4234034441010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17557405 + ... + 17796924.

It is an arithmetic number, because the mean of its divisors is an integer number (164397634500).

Almost surely, 2^{4234034441040} is an apocalyptic number.

4234034441040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4234034441040 is an abundant number, since it is smaller than the sum of its proper divisors (8917776318960).

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

4234034441040 is a wasteful number, since it uses less digits than its factorization.

4234034441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35354844 (or 35354838 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 4234034441040 its reverse (401444304324), we get a palindrome (4635478745364).

The spelling of 4234034441040 in words is "four trillion, two hundred thirty-four billion, thirty-four million, four hundred forty-one thousand, forty".