42366251516544 has 192 divisors, whose sum is σ = 123182875932480. Its totient is φ = 13975050240000.

The previous prime is 42366251516539. The next prime is 42366251516549. The reversal of 42366251516544 is 44561515266324.

42366251516544 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 62 + 515 + 1 + 65 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (42366251516539) and next prime (42366251516549).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (42366251516549) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1938859219 + ... + 1938881069.

It is an arithmetic number, because the mean of its divisors is an integer number (641577478815).

Almost surely, 2^{42366251516544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42366251516544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61591437966240).

42366251516544 is an abundant number, since it is smaller than the sum of its proper divisors (80816624415936).

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

42366251516544 is a wasteful number, since it uses less digits than its factorization.

42366251516544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39319 (or 39304 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 42366251516544 in words is "forty-two trillion, three hundred sixty-six billion, two hundred fifty-one million, five hundred sixteen thousand, five hundred forty-four".