3416214650120 has 96 divisors (see below), whose sum is σ = 7820481879000. Its totient is φ = 1343060877312.

The previous prime is 3416214650113. The next prime is 3416214650203. The reversal of 3416214650120 is 210564126143.

It can be written as a sum of positive squares in 4 ways, for example, as 2066170506724 + 1350044143396 = 1437418^2 + 1161914^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80601254 + ... + 80643626.

Almost surely, 2^{3416214650120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3416214650120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910240939500).

3416214650120 is an abundant number, since it is smaller than the sum of its proper divisors (4404267228880).

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

3416214650120 is a wasteful number, since it uses less digits than its factorization.

3416214650120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42967 (or 42896 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 3416214650120 its reverse (210564126143), we get a palindrome (3626778776263).

The spelling of 3416214650120 in words is "three trillion, four hundred sixteen billion, two hundred fourteen million, six hundred fifty thousand, one hundred twenty".