42665356800 has 1440 divisors, whose sum is σ = 182849546880. Its totient is φ = 9754214400.

The previous prime is 42665356793. The next prime is 42665356949. The reversal of 42665356800 is 865356624.

42665356800 is a `hidden beast` number, since 4 + 26 + 65 + 3 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-4 number, since 4×42665356800⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 992217579 + ... + 992217621.

It is an arithmetic number, because the mean of its divisors is an integer number (126978852).

Almost surely, 2^42665356800 is an apocalyptic number.

42665356800 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 42665356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91424773440).

42665356800 is an abundant number, since it is smaller than the sum of its proper divisors (140184190080).

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

42665356800 is a wasteful number, since it uses less digits than its factorization.

42665356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 42665356800 in words is "forty-two billion, six hundred sixty-five million, three hundred fifty-six thousand, eight hundred".