42440240040 has 256 divisors, whose sum is σ = 141568439040. Its totient is φ = 10091520000.

The previous prime is 42440240039. The next prime is 42440240083. The reversal of 42440240040 is 4004204424.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48392082 + ... + 48392958.

It is an arithmetic number, because the mean of its divisors is an integer number (553001715).

Almost surely, 2^42440240040 is an apocalyptic number.

42440240040 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 42440240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70784219520).

42440240040 is an abundant number, since it is smaller than the sum of its proper divisors (99128199000).

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

42440240040 is a wasteful number, since it uses less digits than its factorization.

42440240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42440240040 its reverse (4004204424), we get a palindrome (46444444464).

The spelling of 42440240040 in words is "forty-two billion, four hundred forty million, two hundred forty thousand, forty".