42412003440 has 160 divisors (see below), whose sum is σ = 134116326720. Its totient is φ = 11083358208.

The previous prime is 42412003421. The next prime is 42412003451. The reversal of 42412003440 is 4430021424.

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 42412003440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15631524 + ... + 15634236.

It is an arithmetic number, because the mean of its divisors is an integer number (838227042).

Almost surely, 2^42412003440 is an apocalyptic number.

42412003440 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 42412003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67058163360).

42412003440 is an abundant number, since it is smaller than the sum of its proper divisors (91704323280).

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

42412003440 is a wasteful number, since it uses less digits than its factorization.

42412003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42412003440 its reverse (4430021424), we get a palindrome (46842024864).

The spelling of 42412003440 in words is "forty-two billion, four hundred twelve million, three thousand, four hundred forty".