4114435820 has 48 divisors (see below), whose sum is σ = 9460717056. Its totient is φ = 1490616000.

The previous prime is 4114435781. The next prime is 4114435823. The reversal of 4114435820 is 285344114.

It is not an unprimeable number, because it can be changed into a prime (4114435823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25115 + ... + 94125.

It is an arithmetic number, because the mean of its divisors is an integer number (197098272).

Almost surely, 2^4114435820 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 4114435820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730358528).

4114435820 is an abundant number, since it is smaller than the sum of its proper divisors (5346281236).

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

4114435820 is a wasteful number, since it uses less digits than its factorization.

4114435820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69302 (or 69300 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 4114435820 is about 64143.8681402985. The cubic root of 4114435820 is about 1602.3969048822.

Adding to 4114435820 its reverse (285344114), we get a palindrome (4399779934).

It can be divided in two parts, 4114 and 435820, that added together give a palindrome (439934).

The spelling of 4114435820 in words is "four billion, one hundred fourteen million, four hundred thirty-five thousand, eight hundred twenty".