42214330201140 has 144 divisors (see below), whose sum is σ = 132584265712080. Its totient is φ = 10859244963840.

The previous prime is 42214330201117. The next prime is 42214330201157. The reversal of 42214330201140 is 4110203341224.

42214330201140 is a `hidden beast` number, since 4 + 2 + 21 + 433 + 0 + 201 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15526216270224 + 26688113930916 = 3940332^2 + 5166054^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2210760 + ... + 9450720.

It is an arithmetic number, because the mean of its divisors is an integer number (920724067445).

Almost surely, 2^{42214330201140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42214330201140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66292132856040).

42214330201140 is an abundant number, since it is smaller than the sum of its proper divisors (90369935510940).

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

42214330201140 is a wasteful number, since it uses less digits than its factorization.

42214330201140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7241122 (or 7241117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42214330201140 its reverse (4110203341224), we get a palindrome (46324533542364).

The spelling of 42214330201140 in words is "forty-two trillion, two hundred fourteen billion, three hundred thirty million, two hundred one thousand, one hundred forty".