42010144440 has 128 divisors (see below), whose sum is σ = 138823027200. Its totient is φ = 10085368320.

The previous prime is 42010144399. The next prime is 42010144447. The reversal of 42010144440 is 4444101024.

It is a happy number.

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 42010144440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42010144447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18535 + ... + 290454.

It is an arithmetic number, because the mean of its divisors is an integer number (1084554900).

Almost surely, 2^42010144440 is an apocalyptic number.

42010144440 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 42010144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69411513600).

42010144440 is an abundant number, since it is smaller than the sum of its proper divisors (96812882760).

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

42010144440 is a wasteful number, since it uses less digits than its factorization.

42010144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309117 (or 309113 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42010144440 its reverse (4444101024), we get a palindrome (46454245464).

The spelling of 42010144440 in words is "forty-two billion, ten million, one hundred forty-four thousand, four hundred forty".