4804726118400 has 720 divisors, whose sum is σ = 19164795249600. Its totient is φ = 1182688542720.

The previous prime is 4804726118321. The next prime is 4804726118407. The reversal of 4804726118400 is 48116274084.

4804726118400 is a `hidden beast` number, since 4 + 80 + 472 + 61 + 1 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4804726118407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53869041 + ... + 53958159.

It is an arithmetic number, because the mean of its divisors is an integer number (26617771180).

Almost surely, 2^{4804726118400} is an apocalyptic number.

4804726118400 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 4804726118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9582397624800).

4804726118400 is an abundant number, since it is smaller than the sum of its proper divisors (14360069131200).

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

4804726118400 is a wasteful number, since it uses less digits than its factorization.

4804726118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89176 (or 89142 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 4804726118400 in words is "four trillion, eight hundred four billion, seven hundred twenty-six million, one hundred eighteen thousand, four hundred".