4840129420800 has 480 divisors, whose sum is σ = 16840498067712. Its totient is φ = 1223021690880.

The previous prime is 4840129420793. The next prime is 4840129420879. The reversal of 4840129420800 is 80249210484.

It is a tau number, because it is divible by the number of its divisors (480).

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, 94476792 + ... + 94528008.

Almost surely, 2^{4840129420800} is an apocalyptic number.

4840129420800 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 4840129420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8420249033856).

4840129420800 is an abundant number, since it is smaller than the sum of its proper divisors (12000368646912).

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

4840129420800 is a wasteful number, since it uses less digits than its factorization.

4840129420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51378 (or 51357 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 4840129420800 in words is "four trillion, eight hundred forty billion, one hundred twenty-nine million, four hundred twenty thousand, eight hundred".