4014110228320 has 384 divisors, whose sum is σ = 10529674444800. Its totient is φ = 1441688371200.

The previous prime is 4014110228287. The next prime is 4014110228473. The reversal of 4014110228320 is 238220114104.

It is a super-2 number, since 2×4014110228320² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 395123401 + ... + 395133559.

It is an arithmetic number, because the mean of its divisors is an integer number (27421027200).

Almost surely, 2^{4014110228320} is an apocalyptic number.

4014110228320 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 4014110228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264837222400).

4014110228320 is an abundant number, since it is smaller than the sum of its proper divisors (6515564216480).

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

4014110228320 is a wasteful number, since it uses less digits than its factorization.

4014110228320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10342 (or 10334 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 4014110228320 in words is "four trillion, fourteen billion, one hundred ten million, two hundred twenty-eight thousand, three hundred twenty".