42394852491264 has 3072 divisors, whose sum is σ = 170380094976000. Its totient is φ = 9845625323520.

The previous prime is 42394852491263. The next prime is 42394852491281. The reversal of 42394852491264 is 46219425849324.

42394852491264 is a `hidden beast` number, since 4 + 2 + 3 + 9 + 4 + 85 + 2 + 491 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42394852491263) 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 191 ways as a sum of consecutive naturals, for example, 694997581794 + ... + 694997581854.

It is an arithmetic number, because the mean of its divisors is an integer number (55462270500).

Almost surely, 2^{42394852491264} 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 42394852491264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85190047488000).

42394852491264 is an abundant number, since it is smaller than the sum of its proper divisors (127985242484736).

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

42394852491264 is a wasteful number, since it uses less digits than its factorization.

42394852491264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 181 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 42394852491264 in words is "forty-two trillion, three hundred ninety-four billion, eight hundred fifty-two million, four hundred ninety-one thousand, two hundred sixty-four".