42414000 has 80 divisors (see below), whose sum is σ = 136762080. Its totient is φ = 11308800.

The previous prime is 42413999. The next prime is 42414007. The reversal of 42414000 is 41424.

42414000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42414007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2466 + ... + 9534.

It is an arithmetic number, because the mean of its divisors is an integer number (1709526).

Almost surely, 2^42414000 is an apocalyptic number.

42414000 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 42414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68381040).

42414000 is an abundant number, since it is smaller than the sum of its proper divisors (94348080).

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

42414000 is a wasteful number, since it uses less digits than its factorization.

42414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7095 (or 7079 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 42414000 is about 6512.6031661694. The cubic root of 42414000 is about 348.7410552555.

Adding to 42414000 its reverse (41424), we get a palindrome (42455424).

The spelling of 42414000 in words is "forty-two million, four hundred fourteen thousand".