42141000 has 128 divisors (see below), whose sum is σ = 143544960. Its totient is φ = 10208000.

The previous prime is 42140957. The next prime is 42141017. The reversal of 42141000 is 14124.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32362 + ... + 33638.

It is an arithmetic number, because the mean of its divisors is an integer number (1121445).

Almost surely, 2^42141000 is an apocalyptic number.

42141000 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 42141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71772480).

42141000 is an abundant number, since it is smaller than the sum of its proper divisors (101403960).

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

42141000 is a wasteful number, since it uses less digits than its factorization.

42141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1298 counting only the distinct ones).

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

The square root of 42141000 is about 6491.6099697995. The cubic root of 42141000 is about 347.9912139412.

Adding to 42141000 its reverse (14124), we get a palindrome (42155124).

The spelling of 42141000 in words is "forty-two million, one hundred forty-one thousand".