4132214240 has 384 divisors, whose sum is σ = 13005619200. Its totient is φ = 1201858560.

The previous prime is 4132214239. The next prime is 4132214243. The reversal of 4132214240 is 424122314.

4132214240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132214243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29728091 + ... + 29728229.

It is an arithmetic number, because the mean of its divisors is an integer number (33868800).

Almost surely, 2^4132214240 is an apocalyptic number.

4132214240 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 4132214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6502809600).

4132214240 is an abundant number, since it is smaller than the sum of its proper divisors (8873404960).

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

4132214240 is a wasteful number, since it uses less digits than its factorization.

4132214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

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

The square root of 4132214240 is about 64282.3011411384. The cubic root of 4132214240 is about 1604.7015668444.

Adding to 4132214240 its reverse (424122314), we get a palindrome (4556336554).

The spelling of 4132214240 in words is "four billion, one hundred thirty-two million, two hundred fourteen thousand, two hundred forty".