42414987645 has 24 divisors (see below), whose sum is σ = 73627960536. Its totient is φ = 22587896448.

The previous prime is 42414987577. The next prime is 42414987653. The reversal of 42414987645 is 54678941424.

42414987645 is a `hidden beast` number, since 4 + 2 + 41 + 498 + 76 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15448749849 + 26966237796 = 124293^2 + 164214^2 .

It is not a de Polignac number, because 42414987645 - 2⁸ = 42414987389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42414987591 and 42414987600.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 665662 + ... + 726591.

It is an arithmetic number, because the mean of its divisors is an integer number (3067831689).

Almost surely, 2^42414987645 is an apocalyptic number.

42414987645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42414987645 is a deficient number, since it is larger than the sum of its proper divisors (31212972891).

42414987645 is a wasteful number, since it uses less digits than its factorization.

42414987645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392941 (or 1392938 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 42414987645 in words is "forty-two billion, four hundred fourteen million, nine hundred eighty-seven thousand, six hundred forty-five".