4249303027200 has 4800 divisors, whose sum is σ = 21642956476416. Its totient is φ = 796262400000.

The previous prime is 4249303027111. The next prime is 4249303027201. The reversal of 4249303027200 is 27203039424.

It is a happy number.

4249303027200 is a `hidden beast` number, since 42 + 49 + 303 + 0 + 272 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4249303027201) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 42072307150 + ... + 42072307250.

Almost surely, 2^{4249303027200} is an apocalyptic number.

4249303027200 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 4249303027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10821478238208).

4249303027200 is an abundant number, since it is smaller than the sum of its proper divisors (17393653449216).

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

4249303027200 is a wasteful number, since it uses less digits than its factorization.

4249303027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 4249303027200 in words is "four trillion, two hundred forty-nine billion, three hundred three million, twenty-seven thousand, two hundred".