495065894400 has 2880 divisors, whose sum is σ = 2422162828800. Its totient is φ = 95374540800.

The previous prime is 495065894399. The next prime is 495065894443. The reversal of 495065894400 is 4498560594.

495065894400 is a `hidden beast` number, since 4 + 9 + 50 + 6 + 589 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7389043167 + ... + 7389043233.

It is an arithmetic number, because the mean of its divisors is an integer number (841028760).

Almost surely, 2^495065894400 is an apocalyptic number.

495065894400 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 495065894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211081414400).

495065894400 is an abundant number, since it is smaller than the sum of its proper divisors (1927096934400).

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

495065894400 is a wasteful number, since it uses less digits than its factorization.

495065894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 495065894400 in words is "four hundred ninety-five billion, sixty-five million, eight hundred ninety-four thousand, four hundred".