493509603363840 has 3520 divisors, whose sum is σ = 2155601842200576. Its totient is φ = 105584394240000.

The previous prime is 493509603363743. The next prime is 493509603363853. The reversal of 493509603363840 is 48363306905394.

It is a happy number.

493509603363840 is a `hidden beast` number, since 4 + 9 + 3 + 509 + 60 + 3 + 3 + 63 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×493509603363840² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 483359062530 + ... + 483359063550.

Almost surely, 2^{493509603363840} is an apocalyptic number.

493509603363840 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 493509603363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077800921100288).

493509603363840 is an abundant number, since it is smaller than the sum of its proper divisors (1662092238836736).

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

493509603363840 is a wasteful number, since it uses less digits than its factorization.

493509603363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 63.

The spelling of 493509603363840 in words is "four hundred ninety-three trillion, five hundred nine billion, six hundred three million, three hundred sixty-three thousand, eight hundred forty".