493979109120 has 864 divisors, whose sum is σ = 2132409377280. Its totient is φ = 106957946880.

The previous prime is 493979109109. The next prime is 493979109161. The reversal of 493979109120 is 21901979394.

It is a happy number.

493979109120 is a `hidden beast` number, since 49 + 397 + 91 + 0 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41362350 + ... + 41374290.

Almost surely, 2^493979109120 is an apocalyptic number.

493979109120 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 493979109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066204688640).

493979109120 is an abundant number, since it is smaller than the sum of its proper divisors (1638430268160).

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

493979109120 is a wasteful number, since it uses less digits than its factorization.

493979109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12003 (or 11977 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 493979109120 in words is "four hundred ninety-three billion, nine hundred seventy-nine million, one hundred nine thousand, one hundred twenty".