4114055512240 has 80 divisors (see below), whose sum is σ = 9837918948960. Its totient is φ = 1598827991040.

The previous prime is 4114055512183. The next prime is 4114055512267. The reversal of 4114055512240 is 422155504114.

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

It is a junction number, because it is equal to n+sod(n) for n = 4114055512196 and 4114055512205.

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 15 ways as a sum of consecutive naturals, for example, 1039656 + ... + 3051064.

It is an arithmetic number, because the mean of its divisors is an integer number (122973986862).

Almost surely, 2^{4114055512240} is an apocalyptic number.

4114055512240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114055512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4918959474480).

4114055512240 is an abundant number, since it is smaller than the sum of its proper divisors (5723863436720).

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

4114055512240 is a wasteful number, since it uses less digits than its factorization.

4114055512240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012150 (or 2012144 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 34.

The spelling of 4114055512240 in words is "four trillion, one hundred fourteen billion, fifty-five million, five hundred twelve thousand, two hundred forty".