4930005247200 has 432 divisors, whose sum is σ = 18970686798336. Its totient is φ = 1194783974400.

The previous prime is 4930005247061. The next prime is 4930005247229. The reversal of 4930005247200 is 27425000394.

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

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, 326850859 + ... + 326865941.

It is an arithmetic number, because the mean of its divisors is an integer number (43913626848).

Almost surely, 2^{4930005247200} is an apocalyptic number.

4930005247200 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 4930005247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9485343399168).

4930005247200 is an abundant number, since it is smaller than the sum of its proper divisors (14040681551136).

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

4930005247200 is a wasteful number, since it uses less digits than its factorization.

4930005247200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19247 (or 19231 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 4930005247200 in words is "four trillion, nine hundred thirty billion, five million, two hundred forty-seven thousand, two hundred".