4840038720000 has 3600 divisors, whose sum is σ = 21881487307680. Its totient is φ = 1021870080000.

The previous prime is 4840038719941. The next prime is 4840038720029. The reversal of 4840038720000 is 278300484.

4840038720000 is a `hidden beast` number, since 48 + 400 + 3 + 8 + 7 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×4840038720000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 112559039979 + ... + 112559040021.

Almost surely, 2^{4840038720000} is an apocalyptic number.

4840038720000 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 4840038720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10940743653840).

4840038720000 is an abundant number, since it is smaller than the sum of its proper divisors (17041448587680).

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

4840038720000 is a wasteful number, since it uses less digits than its factorization.

4840038720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 4840038720000 in words is "four trillion, eight hundred forty billion, thirty-eight million, seven hundred twenty thousand".