42214110400 has 168 divisors, whose sum is σ = 129504496896. Its totient is φ = 13157606400.

The previous prime is 42214110361. The next prime is 42214110437. The reversal of 42214110400 is 401141224.

It is a super-2 number, since 2×42214110400² (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, 48124 + ... + 294523.

Almost surely, 2^42214110400 is an apocalyptic number.

42214110400 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 42214110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64752248448).

42214110400 is an abundant number, since it is smaller than the sum of its proper divisors (87290386496).

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

42214110400 is a wasteful number, since it uses less digits than its factorization.

42214110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342687 (or 342672 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 42214110400 its reverse (401141224), we get a palindrome (42615251624).

The spelling of 42214110400 in words is "forty-two billion, two hundred fourteen million, one hundred ten thousand, four hundred".