493109493120 has 320 divisors, whose sum is σ = 1764660641040. Its totient is φ = 131221278720.

The previous prime is 493109493103. The next prime is 493109493157. The reversal of 493109493120 is 21394901394.

493109493120 is a `hidden beast` number, since 4 + 9 + 31 + 0 + 9 + 493 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25443754 + ... + 25463126.

Almost surely, 2^493109493120 is an apocalyptic number.

493109493120 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 493109493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882330320520).

493109493120 is an abundant number, since it is smaller than the sum of its proper divisors (1271551147920).

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

493109493120 is a wasteful number, since it uses less digits than its factorization.

493109493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19895 (or 19874 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 493109493120 in words is "four hundred ninety-three billion, one hundred nine million, four hundred ninety-three thousand, one hundred twenty".