495897640000 has 315 divisors, whose sum is σ = 1433276054067. Its totient is φ = 169684032000.

The previous prime is 495897639977. The next prime is 495897640037. The reversal of 495897640000 is 46798594.

It is a happy number.

The square root of 495897640000 is 704200.

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

It can be written as a sum of positive squares in 2 ways, for example, as 38878374976 + 457019265024 = 197176^2 + 676032^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 495897640000.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 985879749 + ... + 985880251.

Almost surely, 2^495897640000 is an apocalyptic number.

495897640000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

495897640000 is the 704200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495897640000

495897640000 is an abundant number, since it is smaller than the sum of its proper divisors (937378414067).

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

495897640000 is an frugal number, since it uses more digits than its factorization.

495897640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 495897640000 in words is "four hundred ninety-five billion, eight hundred ninety-seven million, six hundred forty thousand".