42186606000 has 640 divisors, whose sum is σ = 171143331840. Its totient is φ = 8684928000.

The previous prime is 42186605983. The next prime is 42186606013. The reversal of 42186606000 is 60668124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58673641 + ... + 58674359.

It is an arithmetic number, because the mean of its divisors is an integer number (267411456).

Almost surely, 2^42186606000 is an apocalyptic number.

42186606000 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 42186606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85571665920).

42186606000 is an abundant number, since it is smaller than the sum of its proper divisors (128956725840).

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

42186606000 is a wasteful number, since it uses less digits than its factorization.

42186606000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 42186606000 in words is "forty-two billion, one hundred eighty-six million, six hundred six thousand".