4213341440 has 432 divisors, whose sum is σ = 13287504384. Its totient is φ = 1264435200.

The previous prime is 4213341439. The next prime is 4213341443. The reversal of 4213341440 is 441433124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213341443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21387422 + ... + 21387618.

It is an arithmetic number, because the mean of its divisors is an integer number (30758112).

Almost surely, 2^4213341440 is an apocalyptic number.

4213341440 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 4213341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643752192).

4213341440 is an abundant number, since it is smaller than the sum of its proper divisors (9074162944).

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

4213341440 is a wasteful number, since it uses less digits than its factorization.

4213341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 4213341440 is about 64910.2568166234. The cubic root of 4213341440 is about 1615.1352102703.

Adding to 4213341440 its reverse (441433124), we get a palindrome (4654774564).

The spelling of 4213341440 in words is "four billion, two hundred thirteen million, three hundred forty-one thousand, four hundred forty".