42442020400 has 120 divisors (see below), whose sum is σ = 110077076144. Its totient is φ = 15632870400.

The previous prime is 42442020391. The next prime is 42442020403. The reversal of 42442020400 is 402024424.

It is not an unprimeable number, because it can be changed into a prime (42442020403) 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 23 ways as a sum of consecutive naturals, for example, 2179507 + ... + 2198893.

Almost surely, 2^42442020400 is an apocalyptic number.

42442020400 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 42442020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55038538072).

42442020400 is an abundant number, since it is smaller than the sum of its proper divisors (67635055744).

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

42442020400 is a wasteful number, since it uses less digits than its factorization.

42442020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19839 (or 19828 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 42442020400 its reverse (402024424), we get a palindrome (42844044824).

The spelling of 42442020400 in words is "forty-two billion, four hundred forty-two million, twenty thousand, four hundred".