4840819200000 has 3120 divisors, whose sum is σ = 22298570300160. Its totient is φ = 1021870080000.

The previous prime is 4840819199981. The next prime is 4840819200001. The reversal of 4840819200000 is 29180484.

4840819200000 is a `hidden beast` number, since 48 + 408 + 1 + 9 + 200 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4840819200001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 166924799986 + ... + 166924800014.

Almost surely, 2^{4840819200000} is an apocalyptic number.

4840819200000 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 4840819200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11149285150080).

4840819200000 is an abundant number, since it is smaller than the sum of its proper divisors (17457751100160).

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

4840819200000 is an frugal number, since it uses more digits than its factorization.

4840819200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 4840819200000 in words is "four trillion, eight hundred forty billion, eight hundred nineteen million, two hundred thousand".