4132214000 has 80 divisors (see below), whose sum is σ = 10224271200. Its totient is φ = 1614412800.

The previous prime is 4132213979. The next prime is 4132214027. The reversal of 4132214000 is 4122314.

4132214000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4132214000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61976 + ... + 110024.

It is an arithmetic number, because the mean of its divisors is an integer number (127803390).

Almost surely, 2^4132214000 is an apocalyptic number.

4132214000 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 4132214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112135600).

4132214000 is an abundant number, since it is smaller than the sum of its proper divisors (6092057200).

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

4132214000 is a wasteful number, since it uses less digits than its factorization.

4132214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48115 (or 48099 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4132214000 is about 64282.2992743726. The cubic root of 4132214000 is about 1604.7015357773.

Adding to 4132214000 its reverse (4122314), we get a palindrome (4136336314).

The spelling of 4132214000 in words is "four billion, one hundred thirty-two million, two hundred fourteen thousand".