494186778086400 has 1584 divisors, whose sum is σ = 2207470313135360. Its totient is φ = 107011694592000.

The previous prime is 494186778086377. The next prime is 494186778086411. The reversal of 494186778086400 is 4680877681494.

494186778086400 is a `hidden beast` number, since 4 + 9 + 4 + 1 + 8 + 67 + 7 + 80 + 86 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 827067750 + ... + 827665050.

Almost surely, 2^{494186778086400} is an apocalyptic number.

494186778086400 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 494186778086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103735156567680).

494186778086400 is an abundant number, since it is smaller than the sum of its proper divisors (1713283535048960).

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

494186778086400 is a wasteful number, since it uses less digits than its factorization.

494186778086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597372 (or 597337 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 494186778086400 in words is "four hundred ninety-four trillion, one hundred eighty-six billion, seven hundred seventy-eight million, eighty-six thousand, four hundred".