495695838240 has 768 divisors, whose sum is σ = 1872351936000. Its totient is φ = 122040483840.

The previous prime is 495695838203. The next prime is 495695838251. The reversal of 495695838240 is 42838596594.

495695838240 is a `hidden beast` number, since 4 + 9 + 5 + 6 + 9 + 583 + 8 + 2 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1183044751 + ... + 1183045169.

It is an arithmetic number, because the mean of its divisors is an integer number (2437958250).

Almost surely, 2^495695838240 is an apocalyptic number.

495695838240 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 495695838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936175968000).

495695838240 is an abundant number, since it is smaller than the sum of its proper divisors (1376656097760).

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

495695838240 is a wasteful number, since it uses less digits than its factorization.

495695838240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 495695838240 in words is "four hundred ninety-five billion, six hundred ninety-five million, eight hundred thirty-eight thousand, two hundred forty".