42177036 has 96 divisors (see below), whose sum is σ = 115153920. Its totient is φ = 11880000.

The previous prime is 42177007. The next prime is 42177061. The reversal of 42177036 is 63077124.

It is a junction number, because it is equal to n+sod(n) for n = 42176994 and 42177012.

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, 167911 + ... + 168161.

It is an arithmetic number, because the mean of its divisors is an integer number (1199520).

Almost surely, 2^42177036 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 42177036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57576960).

42177036 is an abundant number, since it is smaller than the sum of its proper divisors (72976884).

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

42177036 is a wasteful number, since it uses less digits than its factorization.

42177036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 42177036 is about 6494.3849593322. The cubic root of 42177036 is about 348.0903781644.

The spelling of 42177036 in words is "forty-two million, one hundred seventy-seven thousand, thirty-six".