42497435744064 has 1344 divisors, whose sum is σ = 154457248038912. Its totient is φ = 11322366105600.

The previous prime is 42497435744063. The next prime is 42497435744119. The reversal of 42497435744064 is 46044753479424.

42497435744064 is a `hidden beast` number, since 4 + 2 + 4 + 97 + 43 + 5 + 7 + 440 + 64 = 666.

42497435744064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×42497435744064² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42497435743992 and 42497435744010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42497435744063) 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 191 ways as a sum of consecutive naturals, for example, 38952736159 + ... + 38952737249.

It is an arithmetic number, because the mean of its divisors is an integer number (114923547648).

Almost surely, 2^{42497435744064} 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 42497435744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77228624019456).

42497435744064 is an abundant number, since it is smaller than the sum of its proper divisors (111959812294848).

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

42497435744064 is a wasteful number, since it uses less digits than its factorization.

42497435744064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 63.

The spelling of 42497435744064 in words is "forty-two trillion, four hundred ninety-seven billion, four hundred thirty-five million, seven hundred forty-four thousand, sixty-four".