414002022211331 has 8 divisors (see below), whose sum is σ = 427432524587904. Its totient is φ = 400576244736960.

The previous prime is 414002022211303. The next prime is 414002022211361. The reversal of 414002022211331 is 133112220200414.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414002022211331 is a prime.

It is a super-2 number, since 2×414002022211331² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414002022211331.

It is not an unprimeable number, because it can be changed into a prime (414002022211361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1181047466 + ... + 1181397951.

It is an arithmetic number, because the mean of its divisors is an integer number (53429065573488).

Almost surely, 2^{414002022211331} is an apocalyptic number.

414002022211331 is a deficient number, since it is larger than the sum of its proper divisors (13430502376573).

414002022211331 is a wasteful number, since it uses less digits than its factorization.

414002022211331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362451101.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 414002022211331 its reverse (133112220200414), we get a palindrome (547114242411745).

The spelling of 414002022211331 in words is "four hundred fourteen trillion, two billion, twenty-two million, two hundred eleven thousand, three hundred thirty-one".