42161280 has 128 divisors (see below), whose sum is σ = 153636480. Its totient is φ = 9633792.

The previous prime is 42161279. The next prime is 42161281. The reversal of 42161280 is 8216124.

It is an interprime number because it is at equal distance from previous prime (42161279) and next prime (42161281).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42161280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42161281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11872 + ... + 15008.

It is an arithmetic number, because the mean of its divisors is an integer number (1200285).

Almost surely, 2^42161280 is an apocalyptic number.

42161280 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 42161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76818240).

42161280 is an abundant number, since it is smaller than the sum of its proper divisors (111475200).

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

42161280 is a wasteful number, since it uses less digits than its factorization.

42161280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 3154 counting only the distinct ones).

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

The square root of 42161280 is about 6493.1717981276. The cubic root of 42161280 is about 348.0470275988.

The spelling of 42161280 in words is "forty-two million, one hundred sixty-one thousand, two hundred eighty".