42010144 has 48 divisors (see below), whose sum is σ = 94167360. Its totient is φ = 18261760.

The previous prime is 42010141. The next prime is 42010169. The reversal of 42010144 is 44101024.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (42010141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5502 + ... + 10690.

It is an arithmetic number, because the mean of its divisors is an integer number (1961820).

Almost surely, 2^42010144 is an apocalyptic number.

42010144 is a gapful number since it is divisible by the number (44) 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 42010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47083680).

42010144 is an abundant number, since it is smaller than the sum of its proper divisors (52157216).

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

42010144 is a wasteful number, since it uses less digits than its factorization.

42010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5233 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 42010144 is about 6481.5232777488. The cubic root of 42010144 is about 347.6306470092.

Adding to 42010144 its reverse (44101024), we get a palindrome (86111168).

The spelling of 42010144 in words is "forty-two million, ten thousand, one hundred forty-four".