42204304281312 has 72 divisors (see below), whose sum is σ = 120020312706840. Its totient is φ = 14067887811840.

The previous prime is 42204304281301. The next prime is 42204304281317. The reversal of 42204304281312 is 21318240340224.

42204304281312 is a `hidden beast` number, since 4 + 2 + 20 + 43 + 0 + 4 + 281 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×42204304281312³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42204304281317) 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 11 ways as a sum of consecutive naturals, for example, 18485514 + ... + 20642742.

It is an arithmetic number, because the mean of its divisors is an integer number (1666948787595).

Almost surely, 2^{42204304281312} is an apocalyptic number.

It is an amenable number.

42204304281312 is an abundant number, since it is smaller than the sum of its proper divisors (77816008425528).

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

42204304281312 is a wasteful number, since it uses less digits than its factorization.

42204304281312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225176 (or 2225165 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 42204304281312 in words is "forty-two trillion, two hundred four billion, three hundred four million, two hundred eighty-one thousand, three hundred twelve".