494882785612800 has 792 divisors, whose sum is σ = 1908669390456920. Its totient is φ = 121788334080000.

The previous prime is 494882785612781. The next prime is 494882785612861. The reversal of 494882785612800 is 8216587288494.

494882785612800 is a `hidden beast` number, since 4 + 9 + 488 + 2 + 7 + 8 + 5 + 61 + 2 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 329392879865856 + 165489905746944 = 18149184^2 + 12864288^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14343995550 + ... + 14344030050.

Almost surely, 2^{494882785612800} is an apocalyptic number.

494882785612800 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 494882785612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954334695228460).

494882785612800 is an abundant number, since it is smaller than the sum of its proper divisors (1413786604844120).

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

494882785612800 is a wasteful number, since it uses less digits than its factorization.

494882785612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39339 (or 39313 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 494882785612800 in words is "four hundred ninety-four trillion, eight hundred eighty-two billion, seven hundred eighty-five million, six hundred twelve thousand, eight hundred".