42414100 has 36 divisors (see below), whose sum is σ = 92548764. Its totient is φ = 16871680.

The previous prime is 42414091. The next prime is 42414103. The reversal of 42414100 is 141424.

It can be written as a sum of positive squares in 6 ways, for example, as 242064 + 42172036 = 492^2 + 6494^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42414103) 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, 18624 + ... + 20776.

It is an arithmetic number, because the mean of its divisors is an integer number (2570799).

Almost surely, 2^42414100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46274382).

42414100 is an abundant number, since it is smaller than the sum of its proper divisors (50134664).

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

42414100 is a wasteful number, since it uses less digits than its factorization.

42414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 42414100 is about 6512.6108435865. The cubic root of 42414100 is about 348.7413293323.

Adding to 42414100 its reverse (141424), we get a palindrome (42555524).

The spelling of 42414100 in words is "forty-two million, four hundred fourteen thousand, one hundred".