4800840038400 has 576 divisors, whose sum is σ = 19205198288640. Its totient is φ = 1032781824000.

The previous prime is 4800840038389. The next prime is 4800840038413. The reversal of 4800840038400 is 48300480084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18147075 + ... + 18409725.

It is an arithmetic number, because the mean of its divisors is an integer number (33342358140).

Almost surely, 2^{4800840038400} is an apocalyptic number.

4800840038400 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 4800840038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9602599144320).

4800840038400 is an abundant number, since it is smaller than the sum of its proper divisors (14404358250240).

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

4800840038400 is a wasteful number, since it uses less digits than its factorization.

4800840038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262710 (or 262685 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 4800840038400 in words is "four trillion, eight hundred billion, eight hundred forty million, thirty-eight thousand, four hundred".