4120445203200 has 864 divisors, whose sum is σ = 16514463006720. Its totient is φ = 1000769126400.

The previous prime is 4120445203181. The next prime is 4120445203207. The reversal of 4120445203200 is 23025440214.

4120445203200 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 4 + 452 + 0 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4120445203207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91042977 + ... + 91088223.

Almost surely, 2^{4120445203200} is an apocalyptic number.

4120445203200 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 4120445203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8257231503360).

4120445203200 is an abundant number, since it is smaller than the sum of its proper divisors (12394017803520).

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

4120445203200 is a wasteful number, since it uses less digits than its factorization.

4120445203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45330 (or 45305 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 4120445203200 in words is "four trillion, one hundred twenty billion, four hundred forty-five million, two hundred three thousand, two hundred".