42202343412000 has 384 divisors, whose sum is σ = 157768343066880. Its totient is φ = 10949796172800.

The previous prime is 42202343411999. The next prime is 42202343412017. The reversal of 42202343412000 is 21434320224.

42202343412000 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 23 + 434 + 1 + 200 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1284574 + ... + 9276573.

It is an arithmetic number, because the mean of its divisors is an integer number (410855060070).

Almost surely, 2^{42202343412000} is an apocalyptic number.

42202343412000 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 42202343412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78884171533440).

42202343412000 is an abundant number, since it is smaller than the sum of its proper divisors (115565999654880).

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

42202343412000 is a wasteful number, since it uses less digits than its factorization.

42202343412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10561218 (or 10561194 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42202343412000 its reverse (21434320224), we get a palindrome (42223777732224).

The spelling of 42202343412000 in words is "forty-two trillion, two hundred two billion, three hundred forty-three million, four hundred twelve thousand".