42662035120 has 80 divisors (see below), whose sum is σ = 100786174272. Its totient is φ = 16791183360.

The previous prime is 42662035063. The next prime is 42662035147. The reversal of 42662035120 is 2153026624.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×42662035120² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2520285 + ... + 2537155.

Almost surely, 2^42662035120 is an apocalyptic number.

42662035120 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 42662035120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50393087136).

42662035120 is an abundant number, since it is smaller than the sum of its proper divisors (58124139152).

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

42662035120 is a wasteful number, since it uses less digits than its factorization.

42662035120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17390 (or 17384 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 42662035120 in words is "forty-two billion, six hundred sixty-two million, thirty-five thousand, one hundred twenty".