4114340440 has 64 divisors (see below), whose sum is σ = 10620149760. Its totient is φ = 1405242240.

The previous prime is 4114340413. The next prime is 4114340443. The reversal of 4114340440 is 440434114.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114340443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45705 + ... + 101575.

It is an arithmetic number, because the mean of its divisors is an integer number (165939840).

Almost surely, 2^4114340440 is an apocalyptic number.

4114340440 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 4114340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310074880).

4114340440 is an abundant number, since it is smaller than the sum of its proper divisors (6505809320).

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

4114340440 is a wasteful number, since it uses less digits than its factorization.

4114340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56152 (or 56148 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4114340440 is about 64143.1246510489. The cubic root of 4114340440 is about 1602.3845226420.

Adding to 4114340440 its reverse (440434114), we get a palindrome (4554774554).

The spelling of 4114340440 in words is "four billion, one hundred fourteen million, three hundred forty thousand, four hundred forty".