4213011600 has 360 divisors, whose sum is σ = 17251133952. Its totient is φ = 931737600.

The previous prime is 4213011529. The next prime is 4213011629. The reversal of 4213011600 is 61103124.

It is a happy number.

4213011600 is a `hidden beast` number, since 4 + 21 + 30 + 11 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 778504 + ... + 783896.

Almost surely, 2^4213011600 is an apocalyptic number.

4213011600 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 4213011600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8625566976).

4213011600 is an abundant number, since it is smaller than the sum of its proper divisors (13038122352).

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

4213011600 is a wasteful number, since it uses less digits than its factorization.

4213011600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5455 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4213011600 is about 64907.7160282196. The cubic root of 4213011600 is about 1615.0930624005.

Adding to 4213011600 its reverse (61103124), we get a palindrome (4274114724).

The spelling of 4213011600 in words is "four billion, two hundred thirteen million, eleven thousand, six hundred".