42679311397624 has 128 divisors (see below), whose sum is σ = 93962440393920. Its totient is φ = 17956660838400.

The previous prime is 42679311397621. The next prime is 42679311397633.

It is a happy number.

42679311397624 is nontrivially palindromic in base 10.

42679311397624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42679311397621) by changing a digit.

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, 731570184 + ... + 731628520.

Almost surely, 2^{42679311397624} is an apocalyptic number.

42679311397624 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 42679311397624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46981220196960).

42679311397624 is an abundant number, since it is smaller than the sum of its proper divisors (51283128996296).

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

42679311397624 is a wasteful number, since it uses less digits than its factorization.

42679311397624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66449 (or 66445 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 64.

The spelling of 42679311397624 in words is "forty-two trillion, six hundred seventy-nine billion, three hundred eleven million, three hundred ninety-seven thousand, six hundred twenty-four".