495915171840 has 408 divisors, whose sum is σ = 1875569387328. Its totient is φ = 120213995520.

The previous prime is 495915171833. The next prime is 495915171847. The reversal of 495915171840 is 48171519594.

495915171840 is a `hidden beast` number, since 4 + 9 + 591 + 5 + 1 + 7 + 1 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (495915171833) and next prime (495915171847).

It is a super-2 number, since 2×495915171840² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (495915171847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32432677 + ... + 32447963.

Almost surely, 2^495915171840 is an apocalyptic number.

495915171840 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 495915171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937784693664).

495915171840 is an abundant number, since it is smaller than the sum of its proper divisors (1379654215488).

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

495915171840 is a wasteful number, since it uses less digits than its factorization.

495915171840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15341 (or 15308 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 495915171840 in words is "four hundred ninety-five billion, nine hundred fifteen million, one hundred seventy-one thousand, eight hundred forty".