496409946586400 has 576 divisors, whose sum is σ = 1526760705060864. Its totient is φ = 153103374336000.

The previous prime is 496409946586373. The next prime is 496409946586403. The reversal of 496409946586400 is 4685649904694.

It is not an unprimeable number, because it can be changed into a prime (496409946586403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5806804457 + ... + 5806889943.

It is an arithmetic number, because the mean of its divisors is an integer number (2650626224064).

Almost surely, 2^{496409946586400} is an apocalyptic number.

496409946586400 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 496409946586400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763380352530432).

496409946586400 is an abundant number, since it is smaller than the sum of its proper divisors (1030350758474464).

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

496409946586400 is a wasteful number, since it uses less digits than its factorization.

496409946586400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86513 (or 86500 counting only the distinct ones).

The product of its (nonzero) digits is 1612431360, while the sum is 74.

The spelling of 496409946586400 in words is "four hundred ninety-six trillion, four hundred nine billion, nine hundred forty-six million, five hundred eighty-six thousand, four hundred".