42411168 has 96 divisors (see below), whose sum is σ = 124830720. Its totient is φ = 14008320.

The previous prime is 42411163. The next prime is 42411169. The reversal of 42411168 is 86111424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×42411168² = 3597414342248448, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42411163) 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, 164896 + ... + 165152.

It is an arithmetic number, because the mean of its divisors is an integer number (1300320).

Almost surely, 2^42411168 is an apocalyptic number.

42411168 is a gapful number since it is divisible by the number (48) 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 42411168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62415360).

42411168 is an abundant number, since it is smaller than the sum of its proper divisors (82419552).

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

42411168 is a wasteful number, since it uses less digits than its factorization.

42411168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 453 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 42411168 is about 6512.3857379612. The cubic root of 42411168 is about 348.7332932221.

The spelling of 42411168 in words is "forty-two million, four hundred eleven thousand, one hundred sixty-eight".