414221022341000 has 2048 divisors, whose sum is σ = 1288789512192000. Its totient is φ = 121325783040000.

The previous prime is 414221022340963. The next prime is 414221022341081. The reversal of 414221022341000 is 143220122414.

It is a super-2 number, since 2×414221022341000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 743664312722 + ... + 743664313278.

It is an arithmetic number, because the mean of its divisors is an integer number (629291754000).

Almost surely, 2^{414221022341000} is an apocalyptic number.

414221022341000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414221022341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644394756096000).

414221022341000 is an abundant number, since it is smaller than the sum of its proper divisors (874568489851000).

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

414221022341000 is a wasteful number, since it uses less digits than its factorization.

414221022341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 414221022341000 its reverse (143220122414), we get a palindrome (414364242463414).

The spelling of 414221022341000 in words is "four hundred fourteen trillion, two hundred twenty-one billion, twenty-two million, three hundred forty-one thousand".