484828072344000 has 2688 divisors, whose sum is σ = 2279706750996480. Its totient is φ = 99743616000000.

The previous prime is 484828072343969. The next prime is 484828072344041. The reversal of 484828072344000 is 443270828484.

484828072344000 is a `hidden beast` number, since 4 + 84 + 82 + 80 + 7 + 2 + 3 + 4 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11758803385 + ... + 11758844615.

Almost surely, 2^{484828072344000} is an apocalyptic number.

484828072344000 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 484828072344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139853375498240).

484828072344000 is an abundant number, since it is smaller than the sum of its proper divisors (1794878678652480).

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

484828072344000 is a wasteful number, since it uses less digits than its factorization.

484828072344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41393 (or 41360 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 54.

The spelling of 484828072344000 in words is "four hundred eighty-four trillion, eight hundred twenty-eight billion, seventy-two million, three hundred forty-four thousand".