493500349440 has 1408 divisors, whose sum is σ = 2147797555200. Its totient is φ = 104894300160.

The previous prime is 493500349439. The next prime is 493500349453. The reversal of 493500349440 is 44943005394.

493500349440 is a `hidden beast` number, since 493 + 5 + 0 + 0 + 34 + 94 + 40 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2155023246 + ... + 2155023474.

It is an arithmetic number, because the mean of its divisors is an integer number (1525424400).

Almost surely, 2^493500349440 is an apocalyptic number.

493500349440 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 493500349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073898777600).

493500349440 is an abundant number, since it is smaller than the sum of its proper divisors (1654297205760).

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

493500349440 is a wasteful number, since it uses less digits than its factorization.

493500349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 493500349440 in words is "four hundred ninety-three billion, five hundred million, three hundred forty-nine thousand, four hundred forty".