3405414112000 has 144 divisors (see below), whose sum is σ = 8485034175072. Its totient is φ = 1361889177600.

The previous prime is 3405414111949. The next prime is 3405414112003. The reversal of 3405414112000 is 2114145043.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3405414112003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243289002 + ... + 243302998.

It is an arithmetic number, because the mean of its divisors is an integer number (58923848438).

Almost surely, 2^{3405414112000} 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 3405414112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242517087536).

3405414112000 is an abundant number, since it is smaller than the sum of its proper divisors (5079620063072).

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

3405414112000 is an equidigital number, since it uses as much as digits as its factorization.

3405414112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21631 (or 21607 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 3405414112000 its reverse (2114145043), we get a palindrome (3407528257043).

The spelling of 3405414112000 in words is "three trillion, four hundred five billion, four hundred fourteen million, one hundred twelve thousand".