4214000120 has 256 divisors, whose sum is σ = 11664000000. Its totient is φ = 1350328320.

The previous prime is 4214000057. The next prime is 4214000123. The reversal of 4214000120 is 210004124.

It is a super-2 number, since 2×4214000120² = 35515594022720028800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4214000095 and 4214000104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214000123) 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, 21175781 + ... + 21175979.

It is an arithmetic number, because the mean of its divisors is an integer number (45562500).

Almost surely, 2^4214000120 is an apocalyptic number.

4214000120 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 4214000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832000000).

4214000120 is an abundant number, since it is smaller than the sum of its proper divisors (7449999880).

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

4214000120 is a wasteful number, since it uses less digits than its factorization.

4214000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4214000120 is about 64915.3303927508. The cubic root of 4214000120 is about 1615.2193716453.

Adding to 4214000120 its reverse (210004124), we get a palindrome (4424004244).

The spelling of 4214000120 in words is "four billion, two hundred fourteen million, one hundred twenty", and thus it is an aban number.