42114000 has 80 divisors (see below), whose sum is σ = 135794880. Its totient is φ = 11228800.

The previous prime is 42113971. The next prime is 42114001. The reversal of 42114000 is 41124.

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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42114001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2491 + ... + 9509.

It is an arithmetic number, because the mean of its divisors is an integer number (1697436).

Almost surely, 2^42114000 is an apocalyptic number.

42114000 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 42114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67897440).

42114000 is an abundant number, since it is smaller than the sum of its proper divisors (93680880).

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

42114000 is a wasteful number, since it uses less digits than its factorization.

42114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7045 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 42114000 is about 6489.5300292086. The cubic root of 42114000 is about 347.9168780203.

Adding to 42114000 its reverse (41124), we get a palindrome (42155124).

The spelling of 42114000 in words is "forty-two million, one hundred fourteen thousand".