4121395200 has 576 divisors, whose sum is σ = 16268932680. Its totient is φ = 990904320.

The previous prime is 4121395199. The next prime is 4121395207. The reversal of 4121395200 is 25931214.

4121395200 is a `hidden beast` number, since 4 + 1 + 2 + 139 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×4121395200³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121395207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95846379 + ... + 95846421.

Almost surely, 2^4121395200 is an apocalyptic number.

4121395200 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 4121395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8134466340).

4121395200 is an abundant number, since it is smaller than the sum of its proper divisors (12147537480).

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

4121395200 is a wasteful number, since it uses less digits than its factorization.

4121395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4121395200 is about 64198.0934296339. The cubic root of 4121395200 is about 1603.2998563306.

The spelling of 4121395200 in words is "four billion, one hundred twenty-one million, three hundred ninety-five thousand, two hundred".