42410420400 has 60 divisors (see below), whose sum is σ = 135854717192. Its totient is φ = 11309445120.

The previous prime is 42410420389. The next prime is 42410420401. The reversal of 42410420400 is 402401424.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (42410420401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17669809 + ... + 17672208.

Almost surely, 2^42410420400 is an apocalyptic number.

42410420400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42410420400 is an abundant number, since it is smaller than the sum of its proper divisors (93444296792).

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

42410420400 is a wasteful number, since it uses less digits than its factorization.

42410420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35342038 (or 35342027 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 42410420400 its reverse (402401424), we get a palindrome (42812821824).

The spelling of 42410420400 in words is "forty-two billion, four hundred ten million, four hundred twenty thousand, four hundred".