42638418016 has 96 divisors (see below), whose sum is σ = 89414357760. Its totient is φ = 19957741056.

The previous prime is 42638418013. The next prime is 42638418019. The reversal of 42638418016 is 61081483624.

It is an interprime number because it is at equal distance from previous prime (42638418013) and next prime (42638418019).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42638418013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42090726 + ... + 42091738.

It is an arithmetic number, because the mean of its divisors is an integer number (931399560).

Almost surely, 2^42638418016 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 42638418016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44707178880).

42638418016 is an abundant number, since it is smaller than the sum of its proper divisors (46775939744).

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

42638418016 is a wasteful number, since it uses less digits than its factorization.

42638418016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 42638418016 in words is "forty-two billion, six hundred thirty-eight million, four hundred eighteen thousand, sixteen".