4934239027200 has 1152 divisors, whose sum is σ = 20954385291840. Its totient is φ = 1127507558400.

The previous prime is 4934239027199. The next prime is 4934239027229. The reversal of 4934239027200 is 27209324394.

4934239027200 is a `hidden beast` number, since 4 + 9 + 34 + 2 + 390 + 27 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1393457430 + ... + 1393460970.

Almost surely, 2^{4934239027200} is an apocalyptic number.

4934239027200 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 4934239027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10477192645920).

4934239027200 is an abundant number, since it is smaller than the sum of its proper divisors (16020146264640).

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

4934239027200 is an frugal number, since it uses more digits than its factorization.

4934239027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 4934239027200 in words is "four trillion, nine hundred thirty-four billion, two hundred thirty-nine million, twenty-seven thousand, two hundred".