42025778495064 has 640 divisors, whose sum is σ = 147724285040640. Its totient is φ = 10866080130048.

The previous prime is 42025778495047. The next prime is 42025778495087. The reversal of 42025778495064 is 46059487752024.

42025778495064 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 57 + 78 + 4 + 9 + 506 + 4 = 666.

42025778495064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 42025778494992 and 42025778495010.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 4647322527 + ... + 4647331569.

It is an arithmetic number, because the mean of its divisors is an integer number (230819195376).

Almost surely, 2^{42025778495064} 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 42025778495064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73862142520320).

42025778495064 is an abundant number, since it is smaller than the sum of its proper divisors (105698506545576).

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

42025778495064 is a wasteful number, since it uses less digits than its factorization.

42025778495064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10621 (or 10608 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 42025778495064 in words is "forty-two trillion, twenty-five billion, seven hundred seventy-eight million, four hundred ninety-five thousand, sixty-four".