495440410320 has 960 divisors, whose sum is σ = 1850264432640. Its totient is φ = 118444032000.

The previous prime is 495440410319. The next prime is 495440410331. The reversal of 495440410320 is 23014044594.

495440410320 is a `hidden beast` number, since 4 + 9 + 544 + 0 + 4 + 103 + 2 + 0 = 666.

495440410320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×495440410320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3281062245 + ... + 3281062395.

It is an arithmetic number, because the mean of its divisors is an integer number (1927358784).

Almost surely, 2^495440410320 is an apocalyptic number.

495440410320 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 495440410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925132216320).

495440410320 is an abundant number, since it is smaller than the sum of its proper divisors (1354824022320).

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

495440410320 is a wasteful number, since it uses less digits than its factorization.

495440410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 495440410320 in words is "four hundred ninety-five billion, four hundred forty million, four hundred ten thousand, three hundred twenty".