493418950924800 has 480 divisors, whose sum is σ = 1640333384515584. Its totient is φ = 130744047616000.

The previous prime is 493418950924789. The next prime is 493418950924807. The reversal of 493418950924800 is 8429059814394.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×493418950924800² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (493418950924807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6681601477 + ... + 6681675323.

Almost surely, 2^{493418950924800} is an apocalyptic number.

493418950924800 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 493418950924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820166692257792).

493418950924800 is an abundant number, since it is smaller than the sum of its proper divisors (1146914433590784).

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

493418950924800 is a wasteful number, since it uses less digits than its factorization.

493418950924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74980 (or 74959 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 66.

The spelling of 493418950924800 in words is "four hundred ninety-three trillion, four hundred eighteen billion, nine hundred fifty million, nine hundred twenty-four thousand, eight hundred".