493144877279040 has 672 divisors, whose sum is σ = 1831098772339200. Its totient is φ = 112117541437440.

The previous prime is 493144877279039. The next prime is 493144877279071. The reversal of 493144877279040 is 40972778441394.

It is a tau number, because it is divible by the number of its divisors (672).

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, 9904670466 + ... + 9904720254.

It is an arithmetic number, because the mean of its divisors is an integer number (2724849363600).

Almost surely, 2^{493144877279040} is an apocalyptic number.

493144877279040 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 493144877279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915549386169600).

493144877279040 is an abundant number, since it is smaller than the sum of its proper divisors (1337953895060160).

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

493144877279040 is a wasteful number, since it uses less digits than its factorization.

493144877279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50943 (or 50926 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 69.

The spelling of 493144877279040 in words is "four hundred ninety-three trillion, one hundred forty-four billion, eight hundred seventy-seven million, two hundred seventy-nine thousand, forty".