4114003310220 has 384 divisors, whose sum is σ = 12319044433920. Its totient is φ = 1023686737920.

The previous prime is 4114003310213. The next prime is 4114003310239. The reversal of 4114003310220 is 220133004114.

It is a super-2 number, since 2×4114003310220² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3191623336 + ... + 3191624624.

It is an arithmetic number, because the mean of its divisors is an integer number (32080844880).

Almost surely, 2^{4114003310220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114003310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159522216960).

4114003310220 is an abundant number, since it is smaller than the sum of its proper divisors (8205041123700).

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

4114003310220 is a wasteful number, since it uses less digits than its factorization.

4114003310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 4114003310220 its reverse (220133004114), we get a palindrome (4334136314334).

The spelling of 4114003310220 in words is "four trillion, one hundred fourteen billion, three million, three hundred ten thousand, two hundred twenty".