4114310411040 has 48 divisors (see below), whose sum is σ = 12960077796288. Its totient is φ = 1097149442816.

The previous prime is 4114310410963. The next prime is 4114310411053. The reversal of 4114310411040 is 401140134114.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4114310411040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4285739532 + ... + 4285740491.

It is an arithmetic number, because the mean of its divisors is an integer number (270001620756).

Almost surely, 2^{4114310411040} is an apocalyptic number.

4114310411040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114310411040 is an abundant number, since it is smaller than the sum of its proper divisors (8845767385248).

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

4114310411040 is a wasteful number, since it uses less digits than its factorization.

4114310411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8571480041 (or 8571480033 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 4114310411040 its reverse (401140134114), we get a palindrome (4515450545154).

The spelling of 4114310411040 in words is "four trillion, one hundred fourteen billion, three hundred ten million, four hundred eleven thousand, forty".