42149016 has 144 divisors (see below), whose sum is σ = 143161200. Its totient is φ = 11104128.

The previous prime is 42148999. The next prime is 42149021. The reversal of 42149016 is 61094124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45405 + ... + 46323.

It is an arithmetic number, because the mean of its divisors is an integer number (994175).

Almost surely, 2^42149016 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 42149016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71580600).

42149016 is an abundant number, since it is smaller than the sum of its proper divisors (101012184).

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

42149016 is a wasteful number, since it uses less digits than its factorization.

42149016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 42149016 is about 6492.2273527658. The cubic root of 42149016 is about 348.0132773373.

The spelling of 42149016 in words is "forty-two million, one hundred forty-nine thousand, sixteen".