42424401200 has 120 divisors (see below), whose sum is σ = 104493343248. Its totient is φ = 16546083840.

The previous prime is 42424401179. The next prime is 42424401211. The reversal of 42424401200 is 210442424.

It is a super-2 number, since 2×42424401200² (a number of 22 digits) contains 22 as substring.

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, 3449462 + ... + 3461738.

Almost surely, 2^42424401200 is an apocalyptic number.

42424401200 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 42424401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52246671624).

42424401200 is an abundant number, since it is smaller than the sum of its proper divisors (62068942048).

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

42424401200 is a wasteful number, since it uses less digits than its factorization.

42424401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12511 (or 12500 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 42424401200 its reverse (210442424), we get a palindrome (42634843624).

The spelling of 42424401200 in words is "forty-two billion, four hundred twenty-four million, four hundred one thousand, two hundred".