42214400 has 132 divisors (see below), whose sum is σ = 111938148. Its totient is φ = 15728640.

The previous prime is 42214397. The next prime is 42214411. The reversal of 42214400 is 441224.

It can be written as a sum of positive squares in 6 ways, for example, as 16384 + 42198016 = 128^2 + 6496^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435152 + ... + 435248.

Almost surely, 2^42214400 is an apocalyptic number.

42214400 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 42214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55969074).

42214400 is an abundant number, since it is smaller than the sum of its proper divisors (69723748).

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

42214400 is a wasteful number, since it uses less digits than its factorization.

42214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 42214400 is about 6497.2609613590. The cubic root of 42214400 is about 348.1931371646.

Adding to 42214400 its reverse (441224), we get a palindrome (42655624).

The spelling of 42214400 in words is "forty-two million, two hundred fourteen thousand, four hundred".