493344267040 has 48 divisors (see below), whose sum is σ = 1166053340088. Its totient is φ = 197248393216.

The previous prime is 493344267011. The next prime is 493344267047. The reversal of 493344267040 is 40762443394.

It can be written as a sum of positive squares in 4 ways, for example, as 490733874576 + 2610392464 = 700524^2 + 51092^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (493344267047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 342577 + ... + 1050736.

Almost surely, 2^493344267040 is an apocalyptic number.

493344267040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493344267040 is an abundant number, since it is smaller than the sum of its proper divisors (672709073048).

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

493344267040 is a wasteful number, since it uses less digits than its factorization.

493344267040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395541 (or 1395533 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 46.

It can be divided in two parts, 493344 and 267040, that added together give a square (760384 = 872²).

The spelling of 493344267040 in words is "four hundred ninety-three billion, three hundred forty-four million, two hundred sixty-seven thousand, forty".