484117128000 has 672 divisors, whose sum is σ = 1952426636160. Its totient is φ = 117355392000.

The previous prime is 484117127981. The next prime is 484117128037. The reversal of 484117128000 is 821711484.

484117128000 is a `hidden beast` number, since 484 + 1 + 171 + 2 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26126739 + ... + 26145261.

It is an arithmetic number, because the mean of its divisors is an integer number (2905396780).

Almost surely, 2^484117128000 is an apocalyptic number.

484117128000 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 484117128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976213318080).

484117128000 is an abundant number, since it is smaller than the sum of its proper divisors (1468309508160).

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

484117128000 is a wasteful number, since it uses less digits than its factorization.

484117128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18581 (or 18544 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

Adding to 484117128000 its reverse (821711484), we get a palindrome (484938839484).

The spelling of 484117128000 in words is "four hundred eighty-four billion, one hundred seventeen million, one hundred twenty-eight thousand".