42014000 has 80 divisors (see below), whose sum is σ = 116141376. Its totient is φ = 14400000.

The previous prime is 42013999. The next prime is 42014033. The reversal of 42014000 is 41024.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12500 + ... + 15500.

Almost surely, 2^42014000 is an apocalyptic number.

42014000 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 42014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58070688).

42014000 is an abundant number, since it is smaller than the sum of its proper divisors (74127376).

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

42014000 is a wasteful number, since it uses less digits than its factorization.

42014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 42014000 is about 6481.8207318623. The cubic root of 42014000 is about 347.6412827163.

Adding to 42014000 its reverse (41024), we get a palindrome (42055024).

The spelling of 42014000 in words is "forty-two million, fourteen thousand".