4870724400000 has 1920 divisors, whose sum is σ = 19784502460800. Its totient is φ = 1184440320000.

The previous prime is 4870724399999. The next prime is 4870724400011. The reversal of 4870724400000 is 44270784.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 20379599881 + ... + 20379600119.

It is an arithmetic number, because the mean of its divisors is an integer number (10304428365).

Almost surely, 2^{4870724400000} is an apocalyptic number.

4870724400000 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 4870724400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9892251230400).

4870724400000 is an abundant number, since it is smaller than the sum of its proper divisors (14913778060800).

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

4870724400000 is an equidigital number, since it uses as much as digits as its factorization.

4870724400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

Adding to 4870724400000 its reverse (44270784), we get a palindrome (4870768670784).

The spelling of 4870724400000 in words is "four trillion, eight hundred seventy billion, seven hundred twenty-four million, four hundred thousand".