65042624126040 has 128 divisors (see below), whose sum is σ = 213422559436800. Its totient is φ = 15726739281920.

The previous prime is 65042624125987. The next prime is 65042624126057. The reversal of 65042624126040 is 4062142624056.

65042624126040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 65042624125983 and 65042624126001.

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 31 ways as a sum of consecutive naturals, for example, 63821745 + ... + 64832864.

It is an arithmetic number, because the mean of its divisors is an integer number (1667363745600).

Almost surely, 2^{65042624126040} is an apocalyptic number.

65042624126040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65042624126040 is an abundant number, since it is smaller than the sum of its proper divisors (148379935310760).

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

65042624126040 is a wasteful number, since it uses less digits than its factorization.

65042624126040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128655017 (or 128655013 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 65042624126040 in words is "sixty-five trillion, forty-two billion, six hundred twenty-four million, one hundred twenty-six thousand, forty".