42214210400 has 36 divisors (see below), whose sum is σ = 103055443092. Its totient is φ = 16885683840.

The previous prime is 42214210391. The next prime is 42214210429. The reversal of 42214210400 is 401241224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 26383082 + ... + 26384681.

It is an arithmetic number, because the mean of its divisors is an integer number (2862651197).

Almost surely, 2^42214210400 is an apocalyptic number.

42214210400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42214210400 is an abundant number, since it is smaller than the sum of its proper divisors (60841232692).

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

42214210400 is a wasteful number, since it uses less digits than its factorization.

42214210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52767783 (or 52767770 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 42214210400 its reverse (401241224), we get a palindrome (42615451624).

The spelling of 42214210400 in words is "forty-two billion, two hundred fourteen million, two hundred ten thousand, four hundred".