493408835040 has 1536 divisors, whose sum is σ = 1965822566400. Its totient is φ = 102558597120.

The previous prime is 493408835039. The next prime is 493408835063. The reversal of 493408835040 is 40538804394.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4526686506 + ... + 4526686614.

It is an arithmetic number, because the mean of its divisors is an integer number (1279832400).

Almost surely, 2^493408835040 is an apocalyptic number.

493408835040 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 493408835040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982911283200).

493408835040 is an abundant number, since it is smaller than the sum of its proper divisors (1472413731360).

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

493408835040 is a wasteful number, since it uses less digits than its factorization.

493408835040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

It can be divided in two parts, 4934088 and 35040, that added together give a triangular number (4969128 = T₃₁₅₂).

The spelling of 493408835040 in words is "four hundred ninety-three billion, four hundred eight million, eight hundred thirty-five thousand, forty".