496920368556400 has 240 divisors, whose sum is σ = 1217882600524800. Its totient is φ = 194812933089280.

The previous prime is 496920368556379. The next prime is 496920368556457. The reversal of 496920368556400 is 4655863029694.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2134210389 + ... + 2134443211.

It is an arithmetic number, because the mean of its divisors is an integer number (5074510835520).

Almost surely, 2^{496920368556400} is an apocalyptic number.

496920368556400 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 496920368556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608941300262400).

496920368556400 is an abundant number, since it is smaller than the sum of its proper divisors (720962231968400).

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

496920368556400 is a wasteful number, since it uses less digits than its factorization.

496920368556400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233456 (or 233445 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 67.

The spelling of 496920368556400 in words is "four hundred ninety-six trillion, nine hundred twenty billion, three hundred sixty-eight million, five hundred fifty-six thousand, four hundred".