42645355354624 has 120 divisors (see below), whose sum is σ = 93664972128420. Its totient is φ = 19382755983360.

The previous prime is 42645355354619. The next prime is 42645355354631.

It is a happy number.

42645355354624 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 39933299718400 + 2712055636224 = 6319280^2 + 1646832^2 .

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 11 ways as a sum of consecutive naturals, for example, 1385788902 + ... + 1385819674.

Almost surely, 2^{42645355354624} is an apocalyptic number.

42645355354624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42645355354624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46832486064210).

42645355354624 is an abundant number, since it is smaller than the sum of its proper divisors (51019616773796).

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

42645355354624 is a wasteful number, since it uses less digits than its factorization.

42645355354624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53182 (or 53155 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 58.

The spelling of 42645355354624 in words is "forty-two trillion, six hundred forty-five billion, three hundred fifty-five million, three hundred fifty-four thousand, six hundred twenty-four".