4152214000 has 160 divisors (see below), whose sum is σ = 11251012032. Its totient is φ = 1468800000.

The previous prime is 4152213991. The next prime is 4152214007. The reversal of 4152214000 is 4122514.

It is a super-2 number, since 2×4152214000² = 34481762203592000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4152214007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811450 + ... + 816550.

Almost surely, 2^4152214000 is an apocalyptic number.

4152214000 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 4152214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625506016).

4152214000 is an abundant number, since it is smaller than the sum of its proper divisors (7098798032).

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

4152214000 is a wasteful number, since it uses less digits than its factorization.

4152214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4152214000 is about 64437.6753149894. The cubic root of 4152214000 is about 1607.2862995309.

Adding to 4152214000 its reverse (4122514), we get a palindrome (4156336514).

The spelling of 4152214000 in words is "four billion, one hundred fifty-two million, two hundred fourteen thousand".