42121086 has 64 divisors (see below), whose sum is σ = 99724800. Its totient is φ = 11854080.

The previous prime is 42121067. The next prime is 42121097. The reversal of 42121086 is 68012124.

42121086 = T₈₈₃ + T₈₈₄ + ... + T₉₇₉.

It is a congruent number.

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, 199521 + ... + 199731.

It is an arithmetic number, because the mean of its divisors is an integer number (1558200).

Almost surely, 2^42121086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42121086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49862400).

42121086 is an abundant number, since it is smaller than the sum of its proper divisors (57603714).

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

42121086 is a wasteful number, since it uses less digits than its factorization.

42121086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 42121086 is about 6490.0759625755. The cubic root of 42121086 is about 347.9363901440.

The spelling of 42121086 in words is "forty-two million, one hundred twenty-one thousand, eighty-six".