4824334080000 has 2400 divisors, whose sum is σ = 19813457664000. Its totient is φ = 1164533760000.

The previous prime is 4824334079963. The next prime is 4824334080029. The reversal of 4824334080000 is 804334284.

4824334080000 is a `hidden beast` number, since 4 + 8 + 243 + 3 + 408 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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 199 ways as a sum of consecutive naturals, for example, 61067519961 + ... + 61067520039.

It is an arithmetic number, because the mean of its divisors is an integer number (8255607360).

Almost surely, 2^{4824334080000} is an apocalyptic number.

4824334080000 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 4824334080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906728832000).

4824334080000 is an abundant number, since it is smaller than the sum of its proper divisors (14989123584000).

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

4824334080000 is an equidigital number, since it uses as much as digits as its factorization.

4824334080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 4824334080000 in words is "four trillion, eight hundred twenty-four billion, three hundred thirty-four million, eighty thousand".