42419160 has 256 divisors, whose sum is σ = 167731200. Its totient is φ = 9331200.

The previous prime is 42419159. The next prime is 42419177. The reversal of 42419160 is 6191424.

42419160 = T₁₄₀ + T₁₄₁ + ... + T₆₃₅.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234270 + ... + 234450.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 2^42419160 is an apocalyptic number.

42419160 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 42419160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83865600).

42419160 is an abundant number, since it is smaller than the sum of its proper divisors (125312040).

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

42419160 is a wasteful number, since it uses less digits than its factorization.

42419160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

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

The square root of 42419160 is about 6512.9993090741. Note that the first 3 decimals coincide. The cubic root of 42419160 is about 348.7551970552.

The spelling of 42419160 in words is "forty-two million, four hundred nineteen thousand, one hundred sixty".