495358416000 has 896 divisors, whose sum is σ = 2110670789760. Its totient is φ = 113206118400.

The previous prime is 495358415983. The next prime is 495358416019. The reversal of 495358416000 is 614853594.

495358416000 is a `hidden beast` number, since 4 + 9 + 5 + 3 + 584 + 1 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 81644967 + ... + 81651033.

Almost surely, 2^495358416000 is an apocalyptic number.

495358416000 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 495358416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055335394880).

495358416000 is an abundant number, since it is smaller than the sum of its proper divisors (1615312373760).

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

495358416000 is an frugal number, since it uses more digits than its factorization.

495358416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6121 (or 6084 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 495358416000 in words is "four hundred ninety-five billion, three hundred fifty-eight million, four hundred sixteen thousand".