4114321333320 has 256 divisors, whose sum is σ = 14259738286080. Its totient is φ = 938567168000.

The previous prime is 4114321333289. The next prime is 4114321333321. The reversal of 4114321333320 is 233331234114.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4114321333321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152645845 + ... + 152672795.

It is an arithmetic number, because the mean of its divisors is an integer number (55702102680).

Almost surely, 2^{4114321333320} is an apocalyptic number.

4114321333320 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 4114321333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129869143040).

4114321333320 is an abundant number, since it is smaller than the sum of its proper divisors (10145416952760).

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

4114321333320 is a wasteful number, since it uses less digits than its factorization.

4114321333320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33796 (or 33792 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 4114321333320 its reverse (233331234114), we get a palindrome (4347652567434).

The spelling of 4114321333320 in words is "four trillion, one hundred fourteen billion, three hundred twenty-one million, three hundred thirty-three thousand, three hundred twenty".