2111407432128 has 896 divisors, whose sum is σ = 7143556147200. Its totient is φ = 607535824896.

The previous prime is 2111407432109. The next prime is 2111407432129. The reversal of 2111407432128 is 8212347041112.

2111407432128 is a `hidden beast` number, since 21 + 11 + 407 + 4 + 3 + 212 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2111407432092 and 2111407432101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111407432129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3859976751 + ... + 3859977297.

Almost surely, 2^{2111407432128} 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 2111407432128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571778073600).

2111407432128 is an abundant number, since it is smaller than the sum of its proper divisors (5032148715072).

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

2111407432128 is a wasteful number, since it uses less digits than its factorization.

2111407432128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 2111407432128 in words is "two trillion, one hundred eleven billion, four hundred seven million, four hundred thirty-two thousand, one hundred twenty-eight".