495023840640 has 1920 divisors, whose sum is σ = 2213473521600. Its totient is φ = 104843870208.

The previous prime is 495023840587. The next prime is 495023840681. The reversal of 495023840640 is 46048320594.

495023840640 is a `hidden beast` number, since 4 + 9 + 5 + 0 + 238 + 406 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×495023840640² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 239 ways as a sum of consecutive naturals, for example, 2161676046 + ... + 2161676274.

Almost surely, 2^495023840640 is an apocalyptic number.

495023840640 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 495023840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106736760800).

495023840640 is an abundant number, since it is smaller than the sum of its proper divisors (1718449680960).

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

495023840640 is a wasteful number, since it uses less digits than its factorization.

495023840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 495023840640 in words is "four hundred ninety-five billion, twenty-three million, eight hundred forty thousand, six hundred forty".