4804381200960 has 1680 divisors, whose sum is σ = 20024769663360. Its totient is φ = 1088778240000.

The previous prime is 4804381200923. The next prime is 4804381201057. The reversal of 4804381200960 is 690021834084.

It is a happy number.

4804381200960 is a `hidden beast` number, since 4 + 8 + 0 + 4 + 381 + 200 + 9 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13382677261 + ... + 13382677619.

It is an arithmetic number, because the mean of its divisors is an integer number (11919505752).

Almost surely, 2^{4804381200960} is an apocalyptic number.

4804381200960 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 4804381200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10012384831680).

4804381200960 is an abundant number, since it is smaller than the sum of its proper divisors (15220388462400).

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

4804381200960 is a wasteful number, since it uses less digits than its factorization.

4804381200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4804381200960 in words is "four trillion, eight hundred four billion, three hundred eighty-one million, two hundred thousand, nine hundred sixty".