42018372000 has 768 divisors, whose sum is σ = 168865482240. Its totient is φ = 10063872000.

The previous prime is 42018371947. The next prime is 42018372037. The reversal of 42018372000 is 27381024.

42018372000 is a `hidden beast` number, since 420 + 1 + 8 + 37 + 200 + 0 = 666.

42018372000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 134243844 + ... + 134244156.

It is an arithmetic number, because the mean of its divisors is an integer number (219876930).

Almost surely, 2^42018372000 is an apocalyptic number.

42018372000 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 42018372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84432741120).

42018372000 is an abundant number, since it is smaller than the sum of its proper divisors (126847110240).

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

42018372000 is a wasteful number, since it uses less digits than its factorization.

42018372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 42018372000 in words is "forty-two billion, eighteen million, three hundred seventy-two thousand".