493960324000 has 768 divisors, whose sum is σ = 1493126369280. Its totient is φ = 158146560000.

The previous prime is 493960323973. The next prime is 493960324019. The reversal of 493960324000 is 423069394.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1578147844 + ... + 1578148156.

It is an arithmetic number, because the mean of its divisors is an integer number (1944174960).

Almost surely, 2^493960324000 is an apocalyptic number.

493960324000 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 493960324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746563184640).

493960324000 is an abundant number, since it is smaller than the sum of its proper divisors (999166045280).

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

493960324000 is a wasteful number, since it uses less digits than its factorization.

493960324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 493960324000 in words is "four hundred ninety-three billion, nine hundred sixty million, three hundred twenty-four thousand".