42405344000 has 144 divisors (see below), whose sum is σ = 111852389376. Its totient is φ = 15964160000.

The previous prime is 42405343999. The next prime is 42405344029. The reversal of 42405344000 is 44350424.

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 15 ways as a sum of consecutive naturals, for example, 505025 + ... + 582975.

It is an arithmetic number, because the mean of its divisors is an integer number (776752704).

Almost surely, 2^42405344000 is an apocalyptic number.

42405344000 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 42405344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55926194688).

42405344000 is an abundant number, since it is smaller than the sum of its proper divisors (69447045376).

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

42405344000 is an equidigital number, since it uses as much as digits as its factorization.

42405344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77999 (or 77975 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 42405344000 its reverse (44350424), we get a palindrome (42449694424).

The spelling of 42405344000 in words is "forty-two billion, four hundred five million, three hundred forty-four thousand".