414420203002221 has 36 divisors (see below), whose sum is σ = 648206082115488. Its totient is φ = 255023733305952.

The previous prime is 414420203002217. The next prime is 414420203002283. The reversal of 414420203002221 is 122200302024414.

It is a happy number.

414420203002221 is a `hidden beast` number, since 4 + 14 + 420 + 2 + 0 + 3 + 0 + 0 + 2 + 221 = 666.

It is not a de Polignac number, because 414420203002221 - 2² = 414420203002217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414420203002721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94231306 + ... + 98531108.

It is an arithmetic number, because the mean of its divisors is an integer number (18005724503208).

Almost surely, 2^{414420203002221} is an apocalyptic number.

It is an amenable number.

414420203002221 is a deficient number, since it is larger than the sum of its proper divisors (233785879113267).

414420203002221 is a wasteful number, since it uses less digits than its factorization.

414420203002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363202 (or 4363186 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 414420203002221 its reverse (122200302024414), we get a palindrome (536620505026635).

The spelling of 414420203002221 in words is "four hundred fourteen trillion, four hundred twenty billion, two hundred three million, two thousand, two hundred twenty-one".