42030224400 has 120 divisors (see below), whose sum is σ = 134685825984. Its totient is φ = 11203980800.

The previous prime is 42030224381. The next prime is 42030224413. The reversal of 42030224400 is 442203024.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×42030224400² (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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4804030 + ... + 4812770.

Almost surely, 2^42030224400 is an apocalyptic number.

42030224400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42030224400 is an abundant number, since it is smaller than the sum of its proper divisors (92655601584).

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

42030224400 is a wasteful number, since it uses less digits than its factorization.

42030224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12769 (or 12758 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 42030224400 its reverse (442203024), we get a palindrome (42472427424).

The spelling of 42030224400 in words is "forty-two billion, thirty million, two hundred twenty-four thousand, four hundred".