42180000 has 240 divisors, whose sum is σ = 149577120. Its totient is φ = 10368000.

The previous prime is 42179927. The next prime is 42180013. The reversal of 42180000 is 8124.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1139982 + ... + 1140018.

It is an arithmetic number, because the mean of its divisors is an integer number (623238).

Almost surely, 2^42180000 is an apocalyptic number.

42180000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42180000 is the 3750-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74788560).

42180000 is an abundant number, since it is smaller than the sum of its proper divisors (107397120).

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

42180000 is a wasteful number, since it uses less digits than its factorization.

42180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 42180000 is about 6494.6131524518. The cubic root of 42180000 is about 348.0985320147.

Adding to 42180000 its reverse (8124), we get a palindrome (42188124).

The spelling of 42180000 in words is "forty-two million, one hundred eighty thousand".