4214145600 has 504 divisors, whose sum is σ = 17334390528. Its totient is φ = 951091200.

The previous prime is 4214145541. The next prime is 4214145601. The reversal of 4214145600 is 65414124.

4214145600 is a `hidden beast` number, since 4 + 2 + 14 + 1 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (4214145601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9777385 + ... + 9777815.

It is an arithmetic number, because the mean of its divisors is an integer number (34393632).

Almost surely, 2^4214145600 is an apocalyptic number.

4214145600 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 4214145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8667195264).

4214145600 is an abundant number, since it is smaller than the sum of its proper divisors (13120244928).

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

4214145600 is a wasteful number, since it uses less digits than its factorization.

4214145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4214145600 is about 64916.4509196244. The cubic root of 4214145600 is about 1615.2379588470.

Adding to 4214145600 its reverse (65414124), we get a palindrome (4279559724).

The spelling of 4214145600 in words is "four billion, two hundred fourteen million, one hundred forty-five thousand, six hundred".