414004033141121 has 8 divisors (see below), whose sum is σ = 414160486471680. Its totient is φ = 413847585846288.

The previous prime is 414004033141099. The next prime is 414004033141123. The reversal of 414004033141121 is 121141330400414.

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 not a de Polignac number, because 414004033141121 - 2¹⁰ = 414004033140097 is a prime.

It is a super-3 number, since 3×414004033141121³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414004033141123) 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, 138140870 + ... + 141106016.

It is an arithmetic number, because the mean of its divisors is an integer number (51770060808960).

Almost surely, 2^{414004033141121} is an apocalyptic number.

It is an amenable number.

414004033141121 is a deficient number, since it is larger than the sum of its proper divisors (156453330559).

414004033141121 is a wasteful number, since it uses less digits than its factorization.

414004033141121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017863.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 414004033141121 its reverse (121141330400414), we get a palindrome (535145363541535).

The spelling of 414004033141121 in words is "four hundred fourteen trillion, four billion, thirty-three million, one hundred forty-one thousand, one hundred twenty-one".