4781831760000 has 1280 divisors, whose sum is σ = 18070910457600. Its totient is φ = 1259712000000.

The previous prime is 4781831759963. The next prime is 4781831760001. The reversal of 4781831760000 is 671381874.

4781831760000 is a `hidden beast` number, since 4 + 7 + 8 + 1 + 8 + 31 + 7 + 600 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4781831760001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26418959910 + ... + 26418960090.

It is an arithmetic number, because the mean of its divisors is an integer number (14117898795).

Almost surely, 2^{4781831760000} is an apocalyptic number.

4781831760000 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 4781831760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9035455228800).

4781831760000 is an abundant number, since it is smaller than the sum of its proper divisors (13289078697600).

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

4781831760000 is an frugal number, since it uses more digits than its factorization.

4781831760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 4781831760000 in words is "four trillion, seven hundred eighty-one billion, eight hundred thirty-one million, seven hundred sixty thousand".