3214665412140 has 768 divisors, whose sum is σ = 12096737759232. Its totient is φ = 618692345856.

The previous prime is 3214665411977. The next prime is 3214665412159. The reversal of 3214665412140 is 412145664123.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 408311244 + ... + 408319116.

It is an arithmetic number, because the mean of its divisors is an integer number (15750960624).

Almost surely, 2^{3214665412140} is an apocalyptic number.

3214665412140 is a gapful number since it is divisible by the number (30) 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 3214665412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048368879616).

3214665412140 is an abundant number, since it is smaller than the sum of its proper divisors (8882072347092).

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

3214665412140 is a wasteful number, since it uses less digits than its factorization.

3214665412140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8058 (or 8056 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 3214665412140 in words is "three trillion, two hundred fourteen billion, six hundred sixty-five million, four hundred twelve thousand, one hundred forty".