494556710400 has 1440 divisors, whose sum is σ = 1994722329600. Its totient is φ = 120872632320.

The previous prime is 494556710381. The next prime is 494556710407. The reversal of 494556710400 is 4017655494.

494556710400 is a `hidden beast` number, since 4 + 9 + 45 + 567 + 1 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494556710407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2485209501 + ... + 2485209699.

It is an arithmetic number, because the mean of its divisors is an integer number (1385223840).

Almost surely, 2^494556710400 is an apocalyptic number.

494556710400 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 494556710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997361164800).

494556710400 is an abundant number, since it is smaller than the sum of its proper divisors (1500165619200).

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

494556710400 is a wasteful number, since it uses less digits than its factorization.

494556710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 494556710400 in words is "four hundred ninety-four billion, five hundred fifty-six million, seven hundred ten thousand, four hundred".