496500343040 has 288 divisors, whose sum is σ = 1303944585216. Its totient is φ = 180034928640.

The previous prime is 496500343037. The next prime is 496500343049. The reversal of 496500343040 is 40343005694.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 496500342985 and 496500343003.

It is not an unprimeable number, because it can be changed into a prime (496500343049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217666700 + ... + 217668980.

Almost surely, 2^496500343040 is an apocalyptic number.

496500343040 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 496500343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651972292608).

496500343040 is an abundant number, since it is smaller than the sum of its proper divisors (807444242176).

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

496500343040 is a wasteful number, since it uses less digits than its factorization.

496500343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The spelling of 496500343040 in words is "four hundred ninety-six billion, five hundred million, three hundred forty-three thousand, forty".