42021340200 has 288 divisors, whose sum is σ = 162448977600. Its totient is φ = 9535380480.

The previous prime is 42021340187. The next prime is 42021340211. The reversal of 42021340200 is 204312024.

42021340200 is a `hidden beast` number, since 420 + 2 + 1 + 3 + 40 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1739404 + ... + 1763396.

It is an arithmetic number, because the mean of its divisors is an integer number (564058950).

Almost surely, 2^42021340200 is an apocalyptic number.

42021340200 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 42021340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81224488800).

42021340200 is an abundant number, since it is smaller than the sum of its proper divisors (120427637400).

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

42021340200 is a wasteful number, since it uses less digits than its factorization.

42021340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24161 (or 24149 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42021340200 its reverse (204312024), we get a palindrome (42225652224).

The spelling of 42021340200 in words is "forty-two billion, twenty-one million, three hundred forty thousand, two hundred".