493945260480000 has 1800 divisors, whose sum is σ = 2139081153168960. Its totient is φ = 109258813440000.

The previous prime is 493945260479987. The next prime is 493945260480037. The reversal of 493945260480000 is 84062549394.

493945260480000 is a `hidden beast` number, since 4 + 9 + 39 + 4 + 526 + 0 + 4 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 4374663546 + ... + 4374776454.

Almost surely, 2^{493945260480000} is an apocalyptic number.

493945260480000 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 493945260480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069540576584480).

493945260480000 is an abundant number, since it is smaller than the sum of its proper divisors (1645135892688960).

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

493945260480000 is a wasteful number, since it uses less digits than its factorization.

493945260480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112998 (or 112957 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 493945260480000 in words is "four hundred ninety-three trillion, nine hundred forty-five billion, two hundred sixty million, four hundred eighty thousand".