494238628800 has 1344 divisors, whose sum is σ = 2128625664000. Its totient is φ = 109212364800.

The previous prime is 494238628777. The next prime is 494238628813. The reversal of 494238628800 is 8826832494.

494238628800 is a `hidden beast` number, since 4 + 9 + 4 + 2 + 3 + 8 + 628 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2483611101 + ... + 2483611299.

Almost surely, 2^494238628800 is an apocalyptic number.

494238628800 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 494238628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064312832000).

494238628800 is an abundant number, since it is smaller than the sum of its proper divisors (1634387035200).

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

494238628800 is a wasteful number, since it uses less digits than its factorization.

494238628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 494238628800 in words is "four hundred ninety-four billion, two hundred thirty-eight million, six hundred twenty-eight thousand, eight hundred".