414405122020302 has 32 divisors (see below), whose sum is σ = 956590041222144. Its totient is φ = 117229171716000.

The previous prime is 414405122020289. The next prime is 414405122020399. The reversal of 414405122020302 is 203020221504414.

It is a happy number.

It is a super-2 number, since 2×414405122020302² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414405122020302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48845483974 + ... + 48845492457.

It is an arithmetic number, because the mean of its divisors is an integer number (29893438788192).

Almost surely, 2^{414405122020302} is an apocalyptic number.

414405122020302 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

414405122020302 is an abundant number, since it is smaller than the sum of its proper divisors (542184919201842).

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

414405122020302 is a wasteful number, since it uses less digits than its factorization.

414405122020302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97690976544.

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 414405122020302 its reverse (203020221504414), we get a palindrome (617425343524716).

The spelling of 414405122020302 in words is "four hundred fourteen trillion, four hundred five billion, one hundred twenty-two million, twenty thousand, three hundred two".