42240014400 has 168 divisors, whose sum is σ = 138710273760. Its totient is φ = 11253616640.

The previous prime is 42240014389. The next prime is 42240014413. The reversal of 42240014400 is 441004224.

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 23 ways as a sum of consecutive naturals, for example, 6183787 + ... + 6190613.

Almost surely, 2^42240014400 is an apocalyptic number.

42240014400 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 42240014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69355136880).

42240014400 is an abundant number, since it is smaller than the sum of its proper divisors (96470259360).

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

42240014400 is a wasteful number, since it uses less digits than its factorization.

42240014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8141 (or 8126 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 42240014400 its reverse (441004224), we get a palindrome (42681018624).

The spelling of 42240014400 in words is "forty-two billion, two hundred forty million, fourteen thousand, four hundred".