3416242048128 has 1536 divisors, whose sum is σ = 13047843916800. Its totient is φ = 871748075520.

The previous prime is 3416242048123. The next prime is 3416242048147. The reversal of 3416242048128 is 8218402426143.

3416242048128 is a `hidden beast` number, since 3 + 4 + 1 + 62 + 420 + 48 + 128 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3416242048123) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14175278088 + ... + 14175278328.

It is an arithmetic number, because the mean of its divisors is an integer number (8494690050).

Almost surely, 2^{3416242048128} 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 3416242048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523921958400).

3416242048128 is an abundant number, since it is smaller than the sum of its proper divisors (9631601868672).

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

3416242048128 is a wasteful number, since it uses less digits than its factorization.

3416242048128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 3416242048128 in words is "three trillion, four hundred sixteen billion, two hundred forty-two million, forty-eight thousand, one hundred twenty-eight".