42403332400 has 240 divisors, whose sum is σ = 119962321920. Its totient is φ = 14200243200.

The previous prime is 42403332359. The next prime is 42403332401. The reversal of 42403332400 is 423330424.

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

It is not an unprimeable number, because it can be changed into a prime (42403332401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 49134369 + ... + 49135231.

It is an arithmetic number, because the mean of its divisors is an integer number (499843008).

Almost surely, 2^42403332400 is an apocalyptic number.

42403332400 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 42403332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59981160960).

42403332400 is an abundant number, since it is smaller than the sum of its proper divisors (77558989520).

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

42403332400 is a wasteful number, since it uses less digits than its factorization.

42403332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 42403332400 its reverse (423330424), we get a palindrome (42826662824).

The spelling of 42403332400 in words is "forty-two billion, four hundred three million, three hundred thirty-two thousand, four hundred".