494068410000 has 1125 divisors, whose sum is σ = 1992166036399. Its totient is φ = 118087200000.

The previous prime is 494068409993. The next prime is 494068410079. The reversal of 494068410000 is 14860494.

It is a happy number.

The square root of 494068410000 is 702900.

It is a perfect power (a square), and thus also a powerful number.

494068410000 is a `hidden beast` number, since 494 + 0 + 68 + 4 + 100 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38734963344 + 455333446656 = 196812^2 + 674784^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is a super-3 number, since 3×494068410000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 6958709965 + ... + 6958710035.

Almost surely, 2^494068410000 is an apocalyptic number.

494068410000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

494068410000 is the 702900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494068410000

494068410000 is an abundant number, since it is smaller than the sum of its proper divisors (1498097626399).

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

494068410000 is an equidigital number, since it uses as much as digits as its factorization.

494068410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 494068410000 by its sum of digits (36), we get a square (17786462760000 = 4217400²).

494068410000 divided by its sum of digits (36) gives a square (13724122500 = 117150²).

The spelling of 494068410000 in words is "four hundred ninety-four billion, sixty-eight million, four hundred ten thousand".