4113240014000 has 320 divisors, whose sum is σ = 10903165902720. Its totient is φ = 1491605913600.

The previous prime is 4113240013951. The next prime is 4113240014057. The reversal of 4113240014000 is 4100423114.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 614922656 + ... + 614929344.

It is an arithmetic number, because the mean of its divisors is an integer number (34072393446).

Almost surely, 2^{4113240014000} is an apocalyptic number.

4113240014000 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 4113240014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5451582951360).

4113240014000 is an abundant number, since it is smaller than the sum of its proper divisors (6789925888720).

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

4113240014000 is a wasteful number, since it uses less digits than its factorization.

4113240014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7145 (or 7129 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4113240014000 its reverse (4100423114), we get a palindrome (4117340437114).

The spelling of 4113240014000 in words is "four trillion, one hundred thirteen billion, two hundred forty million, fourteen thousand".