495342319296000 has 3840 divisors, whose sum is σ = 2031294690247680. Its totient is φ = 106767581184000.

The previous prime is 495342319295969. The next prime is 495342319296029. The reversal of 495342319296000 is 692913243594.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1403236031824 + ... + 1403236032176.

It is an arithmetic number, because the mean of its divisors is an integer number (528982992252).

Almost surely, 2^{495342319296000} is an apocalyptic number.

495342319296000 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 495342319296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015647345123840).

495342319296000 is an abundant number, since it is smaller than the sum of its proper divisors (1535952370951680).

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

495342319296000 is a wasteful number, since it uses less digits than its factorization.

495342319296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 57.

The spelling of 495342319296000 in words is "four hundred ninety-five trillion, three hundred forty-two billion, three hundred nineteen million, two hundred ninety-six thousand".