3414121113000 has 256 divisors, whose sum is σ = 11540160253440. Its totient is φ = 835365120000.

The previous prime is 3414121112957. The next prime is 3414121113127. The reversal of 3414121113000 is 3111214143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6250900 + ... + 6775100.

It is an arithmetic number, because the mean of its divisors is an integer number (45078750990).

Almost surely, 2^{3414121113000} is an apocalyptic number.

3414121113000 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 3414121113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5770080126720).

3414121113000 is an abundant number, since it is smaller than the sum of its proper divisors (8126039140440).

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

3414121113000 is a wasteful number, since it uses less digits than its factorization.

3414121113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524405 (or 524391 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 3414121113000 its reverse (3111214143), we get a palindrome (3417232327143).

The spelling of 3414121113000 in words is "three trillion, four hundred fourteen billion, one hundred twenty-one million, one hundred thirteen thousand".