42300424400 has 240 divisors, whose sum is σ = 112877983680. Its totient is φ = 15134515200.

The previous prime is 42300424399. The next prime is 42300424421. The reversal of 42300424400 is 442400324.

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, 31079720 + ... + 31081080.

It is an arithmetic number, because the mean of its divisors is an integer number (470324932).

Almost surely, 2^42300424400 is an apocalyptic number.

42300424400 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 42300424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56438991840).

42300424400 is an abundant number, since it is smaller than the sum of its proper divisors (70577559280).

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

42300424400 is a wasteful number, since it uses less digits than its factorization.

42300424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 42300424400 its reverse (442400324), we get a palindrome (42742824724).

The spelling of 42300424400 in words is "forty-two billion, three hundred million, four hundred twenty-four thousand, four hundred".