42315453591264 has 432 divisors, whose sum is σ = 143940869837856. Its totient is φ = 11748922214400.

The previous prime is 42315453591263. The next prime is 42315453591289. The reversal of 42315453591264 is 46219535451324.

42315453591264 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 5 + 45 + 3 + 591 + 2 + 6 + 4 = 666.

42315453591264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42315453591264² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42315453591264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42315453591263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 428630869 + ... + 428729579.

It is an arithmetic number, because the mean of its divisors is an integer number (333196457958).

Almost surely, 2^{42315453591264} 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 42315453591264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71970434918928).

42315453591264 is an abundant number, since it is smaller than the sum of its proper divisors (101625416246592).

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

42315453591264 is a wasteful number, since it uses less digits than its factorization.

42315453591264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99599 (or 99581 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 42315453591264 in words is "forty-two trillion, three hundred fifteen billion, four hundred fifty-three million, five hundred ninety-one thousand, two hundred sixty-four".