42001334221 has 32 divisors (see below), whose sum is σ = 52666039296. Its totient is φ = 32540784000.

The previous prime is 42001334197. The next prime is 42001334233. The reversal of 42001334221 is 12243310024.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42001334221 is a prime.

It is a super-3 number, since 3×42001334221³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42001334192 and 42001334201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42001334251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17419506 + ... + 17421916.

It is an arithmetic number, because the mean of its divisors is an integer number (1645813728).

Almost surely, 2^42001334221 is an apocalyptic number.

It is an amenable number.

42001334221 is a deficient number, since it is larger than the sum of its proper divisors (10664705075).

42001334221 is a wasteful number, since it uses less digits than its factorization.

42001334221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 42001334221 its reverse (12243310024), we get a palindrome (54244644245).

The spelling of 42001334221 in words is "forty-two billion, one million, three hundred thirty-four thousand, two hundred twenty-one".