4114411224 has 160 divisors (see below), whose sum is σ = 13092546240. Its totient is φ = 1068513600.

The previous prime is 4114411219. The next prime is 4114411229. The reversal of 4114411224 is 4221144114.

It is an interprime number because it is at equal distance from previous prime (4114411219) and next prime (4114411229).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4114411194 and 4114411203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114411229) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 630619 + ... + 637109.

It is an arithmetic number, because the mean of its divisors is an integer number (81828414).

Almost surely, 2^4114411224 is an apocalyptic number.

4114411224 is a gapful number since it is divisible by the number (44) 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 4114411224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6546273120).

4114411224 is an abundant number, since it is smaller than the sum of its proper divisors (8978135016).

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

4114411224 is a wasteful number, since it uses less digits than its factorization.

4114411224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6539 (or 6514 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 4114411224 is about 64143.6764147488. The cubic root of 4114411224 is about 1602.3937118455.

Adding to 4114411224 its reverse (4221144114), we get a palindrome (8335555338).

The spelling of 4114411224 in words is "four billion, one hundred fourteen million, four hundred eleven thousand, two hundred twenty-four".