4141412440 has 64 divisors (see below), whose sum is σ = 10176192000. Its totient is φ = 1504352640.

The previous prime is 4141412437. The next prime is 4141412441. The reversal of 4141412440 is 442141414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141412441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452631 + ... + 461689.

It is an arithmetic number, because the mean of its divisors is an integer number (159003000).

Almost surely, 2^4141412440 is an apocalyptic number.

4141412440 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 4141412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088096000).

4141412440 is an abundant number, since it is smaller than the sum of its proper divisors (6034779560).

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

4141412440 is a wasteful number, since it uses less digits than its factorization.

4141412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10120 (or 10116 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 4141412440 is about 64353.8067250104. The cubic root of 4141412440 is about 1605.8913589315.

Adding to 4141412440 its reverse (442141414), we get a palindrome (4583553854).

The spelling of 4141412440 in words is "four billion, one hundred forty-one million, four hundred twelve thousand, four hundred forty".