42232350400 has 168 divisors, whose sum is σ = 106256480400. Its totient is φ = 16515133440.

The previous prime is 42232350397. The next prime is 42232350421. The reversal of 42232350400 is 405323224.

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

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, 29594487 + ... + 29595913.

It is an arithmetic number, because the mean of its divisors is an integer number (632479050).

Almost surely, 2^42232350400 is an apocalyptic number.

42232350400 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 42232350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53128240200).

42232350400 is an abundant number, since it is smaller than the sum of its proper divisors (64024130000).

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

42232350400 is a wasteful number, since it uses less digits than its factorization.

42232350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 42232350400 its reverse (405323224), we get a palindrome (42637673624).

The spelling of 42232350400 in words is "forty-two billion, two hundred thirty-two million, three hundred fifty thousand, four hundred".