42324434400 has 288 divisors, whose sum is σ = 144515750400. Its totient is φ = 10738759680.

The previous prime is 42324434381. The next prime is 42324434437. The reversal of 42324434400 is 443442324.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10982874 + ... + 10986726.

It is an arithmetic number, because the mean of its divisors is an integer number (501790800).

Almost surely, 2^42324434400 is an apocalyptic number.

42324434400 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 42324434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72257875200).

42324434400 is an abundant number, since it is smaller than the sum of its proper divisors (102191316000).

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

42324434400 is a wasteful number, since it uses less digits than its factorization.

42324434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 42324434400 its reverse (443442324), we get a palindrome (42767876724).

The spelling of 42324434400 in words is "forty-two billion, three hundred twenty-four million, four hundred thirty-four thousand, four hundred".