494438400000 has 1080 divisors, whose sum is σ = 1896780707640. Its totient is φ = 123863040000.

The previous prime is 494438399999. The next prime is 494438400023. The reversal of 494438400000 is 4834494.

It can be written as a sum of positive squares in 12 ways, for example, as 457278898176 + 37159501824 = 676224^2 + 192768^2 .

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 71 ways as a sum of consecutive naturals, for example, 13363199982 + ... + 13363200018.

It is an arithmetic number, because the mean of its divisors is an integer number (1756278433).

Almost surely, 2^494438400000 is an apocalyptic number.

494438400000 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 494438400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948390353820).

494438400000 is an abundant number, since it is smaller than the sum of its proper divisors (1402342307640).

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

494438400000 is an frugal number, since it uses more digits than its factorization.

494438400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 494438400000 in words is "four hundred ninety-four billion, four hundred thirty-eight million, four hundred thousand".