4011216300 has 864 divisors, whose sum is σ = 17015910912. Its totient is φ = 766402560.

The previous prime is 4011216277. The next prime is 4011216311. The reversal of 4011216300 is 36121104.

It is a happy number.

4011216300 is a `hidden beast` number, since 4 + 0 + 11 + 21 + 630 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 59868867 + ... + 59868933.

Almost surely, 2^4011216300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4011216300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507955456).

4011216300 is an abundant number, since it is smaller than the sum of its proper divisors (13004694612).

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

4011216300 is a wasteful number, since it uses less digits than its factorization.

4011216300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

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

The square root of 4011216300 is about 63334.1637664855. The cubic root of 4011216300 is about 1588.8833978290.

Adding to 4011216300 its reverse (36121104), we get a palindrome (4047337404).

The spelling of 4011216300 in words is "four billion, eleven million, two hundred sixteen thousand, three hundred".