42414432320 has 112 divisors (see below), whose sum is σ = 109126129728. Its totient is φ = 15609231360.

The previous prime is 42414432293. The next prime is 42414432373. The reversal of 42414432320 is 2323441424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1260515 + ... + 1293725.

It is an arithmetic number, because the mean of its divisors is an integer number (974340444).

Almost surely, 2^42414432320 is an apocalyptic number.

42414432320 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 42414432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54563064864).

42414432320 is an abundant number, since it is smaller than the sum of its proper divisors (66711697408).

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

42414432320 is a wasteful number, since it uses less digits than its factorization.

42414432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33548 (or 33538 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 42414432320 its reverse (2323441424), we get a palindrome (44737873744).

The spelling of 42414432320 in words is "forty-two billion, four hundred fourteen million, four hundred thirty-two thousand, three hundred twenty".