4101213600 has 576 divisors, whose sum is σ = 16615186560. Its totient is φ = 967680000.

The previous prime is 4101213587. The next prime is 4101213619. The reversal of 4101213600 is 63121014.

It is a happy number.

4101213600 is a `hidden beast` number, since 41 + 0 + 1 + 21 + 3 + 600 = 666.

4101213600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9741390 + ... + 9741810.

It is an arithmetic number, because the mean of its divisors is an integer number (28845810).

Almost surely, 2^4101213600 is an apocalyptic number.

4101213600 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 4101213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307593280).

4101213600 is an abundant number, since it is smaller than the sum of its proper divisors (12513972960).

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

4101213600 is a wasteful number, since it uses less digits than its factorization.

4101213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 483 counting only the distinct ones).

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

The square root of 4101213600 is about 64040.7182970335. The cubic root of 4101213600 is about 1600.6785663433.

Adding to 4101213600 its reverse (63121014), we get a palindrome (4164334614).

The spelling of 4101213600 in words is "four billion, one hundred one million, two hundred thirteen thousand, six hundred".