4979349379200 has 384 divisors, whose sum is σ = 18768137512320. Its totient is φ = 1136652779520.

The previous prime is 4979349379189. The next prime is 4979349379201. The reversal of 4979349379200 is 29739439794.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (4979349379201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51897672 + ... + 51993528.

It is an arithmetic number, because the mean of its divisors is an integer number (48875358105).

Almost surely, 2^{4979349379200} is an apocalyptic number.

4979349379200 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 4979349379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9384068756160).

4979349379200 is an abundant number, since it is smaller than the sum of its proper divisors (13788788133120).

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

4979349379200 is a wasteful number, since it uses less digits than its factorization.

4979349379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96664 (or 96647 counting only the distinct ones).

The product of its (nonzero) digits is 92588832, while the sum is 66.

The spelling of 4979349379200 in words is "four trillion, nine hundred seventy-nine billion, three hundred forty-nine million, three hundred seventy-nine thousand, two hundred".