4140213440 has 168 divisors, whose sum is σ = 11310213600. Its totient is φ = 1439764480.

The previous prime is 4140213403. The next prime is 4140213481. The reversal of 4140213440 is 443120414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 888236 + ... + 892884.

It is an arithmetic number, because the mean of its divisors is an integer number (67322700).

Almost surely, 2^4140213440 is an apocalyptic number.

4140213440 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 4140213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655106800).

4140213440 is an abundant number, since it is smaller than the sum of its proper divisors (7170000160).

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

4140213440 is a wasteful number, since it uses less digits than its factorization.

4140213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4140213440 is about 64344.4903624234. The cubic root of 4140213440 is about 1605.7363675597.

Adding to 4140213440 its reverse (443120414), we get a palindrome (4583333854).

The spelling of 4140213440 in words is "four billion, one hundred forty million, two hundred thirteen thousand, four hundred forty".