495008317440 has 2304 divisors, whose sum is σ = 2349596471040. Its totient is φ = 95126814720.

The previous prime is 495008317439. The next prime is 495008317459. The reversal of 495008317440 is 44713800594.

495008317440 is a `hidden beast` number, since 4 + 9 + 500 + 8 + 31 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15968010225 + ... + 15968010255.

It is an arithmetic number, because the mean of its divisors is an integer number (1019790135).

Almost surely, 2^495008317440 is an apocalyptic number.

495008317440 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 495008317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174798235520).

495008317440 is an abundant number, since it is smaller than the sum of its proper divisors (1854588153600).

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

495008317440 is a wasteful number, since it uses less digits than its factorization.

495008317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 495008317440 in words is "four hundred ninety-five billion, eight million, three hundred seventeen thousand, four hundred forty".