42641414624 has 96 divisors (see below), whose sum is σ = 88963805952. Its totient is φ = 20090880000.

The previous prime is 42641414611. The next prime is 42641414713.

42641414624 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42641414624² (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 6108224 + ... + 6115200.

It is an arithmetic number, because the mean of its divisors is an integer number (926706312).

Almost surely, 2^42641414624 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 42641414624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44481902976).

42641414624 is an abundant number, since it is smaller than the sum of its proper divisors (46322391328).

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

42641414624 is a wasteful number, since it uses less digits than its factorization.

42641414624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7180 (or 7172 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The spelling of 42641414624 in words is "forty-two billion, six hundred forty-one million, four hundred fourteen thousand, six hundred twenty-four".