4212141440 has 128 divisors (see below), whose sum is σ = 10892841120. Its totient is φ = 1548288000.

The previous prime is 4212141419. The next prime is 4212141449. The reversal of 4212141440 is 441412124.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212141449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2087312 + ... + 2089328.

Almost surely, 2^4212141440 is an apocalyptic number.

4212141440 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 4212141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446420560).

4212141440 is an abundant number, since it is smaller than the sum of its proper divisors (6680699680).

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

4212141440 is a wasteful number, since it uses less digits than its factorization.

4212141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 4212141440 is about 64901.0126269229. The cubic root of 4212141440 is about 1614.9818603847.

Adding to 4212141440 its reverse (441412124), we get a palindrome (4653553564).

The spelling of 4212141440 in words is "four billion, two hundred twelve million, one hundred forty-one thousand, four hundred forty".