42667918128 has 160 divisors (see below), whose sum is σ = 134301761280. Its totient is φ = 12862402560.

The previous prime is 42667918099. The next prime is 42667918159. The reversal of 42667918128 is 82181976624.

It is a happy number.

42667918128 is a `hidden beast` number, since 426 + 6 + 7 + 91 + 8 + 128 = 666.

42667918128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42667918128² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893875 + ... + 940397.

It is an arithmetic number, because the mean of its divisors is an integer number (839386008).

Almost surely, 2^42667918128 is an apocalyptic number.

42667918128 is a gapful number since it is divisible by the number (48) 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 42667918128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67150880640).

42667918128 is an abundant number, since it is smaller than the sum of its proper divisors (91633843152).

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

42667918128 is a wasteful number, since it uses less digits than its factorization.

42667918128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46744 (or 46732 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 42667918128 in words is "forty-two billion, six hundred sixty-seven million, nine hundred eighteen thousand, one hundred twenty-eight".