3414443105120 has 48 divisors (see below), whose sum is σ = 8068565766240. Its totient is φ = 1365448111104.

The previous prime is 3414443105083. The next prime is 3414443105137. The reversal of 3414443105120 is 215013444143.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1904780 + ... + 3233739.

It is an arithmetic number, because the mean of its divisors is an integer number (168095120130).

Almost surely, 2^{3414443105120} is an apocalyptic number.

It is an amenable number.

3414443105120 is an abundant number, since it is smaller than the sum of its proper divisors (4654122661120).

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

3414443105120 is a wasteful number, since it uses less digits than its factorization.

3414443105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5142687 (or 5142679 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 3414443105120 its reverse (215013444143), we get a palindrome (3629456549263).

The spelling of 3414443105120 in words is "three trillion, four hundred fourteen billion, four hundred forty-three million, one hundred five thousand, one hundred twenty".