42823764246800 has 240 divisors, whose sum is σ = 107426224406592. Its totient is φ = 16391532748800.

The previous prime is 42823764246761. The next prime is 42823764246871. The reversal of 42823764246800 is 864246732824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255936767 + ... + 256104033.

Almost surely, 2^{42823764246800} is an apocalyptic number.

42823764246800 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 42823764246800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53713112203296).

42823764246800 is an abundant number, since it is smaller than the sum of its proper divisors (64602460159792).

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

42823764246800 is a wasteful number, since it uses less digits than its factorization.

42823764246800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167626 (or 167615 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 56.

The spelling of 42823764246800 in words is "forty-two trillion, eight hundred twenty-three billion, seven hundred sixty-four million, two hundred forty-six thousand, eight hundred".