42613668120 has 256 divisors, whose sum is σ = 139505794560. Its totient is φ = 10369769472.

The previous prime is 42613668067. The next prime is 42613668131. The reversal of 42613668120 is 2186631624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26190747 + ... + 26192373.

It is an arithmetic number, because the mean of its divisors is an integer number (544944510).

Almost surely, 2^42613668120 is an apocalyptic number.

42613668120 is a gapful number since it is divisible by the number (40) 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 42613668120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69752897280).

42613668120 is an abundant number, since it is smaller than the sum of its proper divisors (96892126440).

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

42613668120 is a wasteful number, since it uses less digits than its factorization.

42613668120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 42613668120 in words is "forty-two billion, six hundred thirteen million, six hundred sixty-eight thousand, one hundred twenty".