42334014400 has 168 divisors, whose sum is σ = 109133640000. Its totient is φ = 16141332480.

The previous prime is 42334014391. The next prime is 42334014413. The reversal of 42334014400 is 441043324.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3659826 + ... + 3671374.

It is an arithmetic number, because the mean of its divisors is an integer number (649605000).

Almost surely, 2^42334014400 is an apocalyptic number.

42334014400 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 42334014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54566820000).

42334014400 is an abundant number, since it is smaller than the sum of its proper divisors (66799625600).

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

42334014400 is a wasteful number, since it uses less digits than its factorization.

42334014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11679 (or 11664 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 42334014400 its reverse (441043324), we get a palindrome (42775057724).

The spelling of 42334014400 in words is "forty-two billion, three hundred thirty-four million, fourteen thousand, four hundred".