493283831040 has 2880 divisors, whose sum is σ = 2443165401600. Its totient is φ = 93640458240.

The previous prime is 493283831039. The next prime is 493283831083. The reversal of 493283831040 is 40138382394.

493283831040 is a `hidden beast` number, since 4 + 9 + 328 + 3 + 8 + 310 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 319 ways as a sum of consecutive naturals, for example, 5085400272 + ... + 5085400368.

It is an arithmetic number, because the mean of its divisors is an integer number (848321320).

Almost surely, 2^493283831040 is an apocalyptic number.

493283831040 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 493283831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221582700800).

493283831040 is an abundant number, since it is smaller than the sum of its proper divisors (1949881570560).

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

493283831040 is a wasteful number, since it uses less digits than its factorization.

493283831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 493283831040 in words is "four hundred ninety-three billion, two hundred eighty-three million, eight hundred thirty-one thousand, forty".