42663305228544 has 2304 divisors, whose sum is σ = 173662949376000. Its totient is φ = 9974619832320.

The previous prime is 42663305228543. The next prime is 42663305228617. The reversal of 42663305228544 is 44582250336624.

42663305228544 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 3 + 30 + 522 + 85 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×42663305228544² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42663305228543) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 48646869834 + ... + 48646870710.

It is an arithmetic number, because the mean of its divisors is an integer number (75374544000).

Almost surely, 2^{42663305228544} is an apocalyptic number.

42663305228544 is a gapful number since it is divisible by the number (44) 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 42663305228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86831474688000).

42663305228544 is an abundant number, since it is smaller than the sum of its proper divisors (130999644147456).

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

42663305228544 is a wasteful number, since it uses less digits than its factorization.

42663305228544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 42663305228544 in words is "forty-two trillion, six hundred sixty-three billion, three hundred five million, two hundred twenty-eight thousand, five hundred forty-four".