4114643336320 has 256 divisors, whose sum is σ = 10808017920000. Its totient is φ = 1485501050880.

The previous prime is 4114643336281. The next prime is 4114643336329. The reversal of 4114643336320 is 236333464114.

4114643336320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4114643336320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4114643336329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704679961 + ... + 704685799.

It is an arithmetic number, because the mean of its divisors is an integer number (42218820000).

Almost surely, 2^{4114643336320} is an apocalyptic number.

4114643336320 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 4114643336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404008960000).

4114643336320 is an abundant number, since it is smaller than the sum of its proper divisors (6693374583680).

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

4114643336320 is a wasteful number, since it uses less digits than its factorization.

4114643336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 40.

The spelling of 4114643336320 in words is "four trillion, one hundred fourteen billion, six hundred forty-three million, three hundred thirty-six thousand, three hundred twenty".