42864783360000 has 640 divisors, whose sum is σ = 163241305560960. Its totient is φ = 9797566464000.

The previous prime is 42864783359969. The next prime is 42864783360059. The reversal of 42864783360000 is 6338746824.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 430030167 + ... + 430129833.

It is an arithmetic number, because the mean of its divisors is an integer number (255064539939).

Almost surely, 2^{42864783360000} is an apocalyptic number.

42864783360000 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 42864783360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81620652780480).

42864783360000 is an abundant number, since it is smaller than the sum of its proper divisors (120376522200960).

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

42864783360000 is an frugal number, since it uses more digits than its factorization.

42864783360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99727 (or 99684 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 42864783360000 in words is "forty-two trillion, eight hundred sixty-four billion, seven hundred eighty-three million, three hundred sixty thousand".