4111091712 has 768 divisors, whose sum is σ = 16144128000. Its totient is φ = 1003290624.

The previous prime is 4111091681. The next prime is 4111091741. The reversal of 4111091712 is 2171901114.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95606763 + ... + 95606805.

It is an arithmetic number, because the mean of its divisors is an integer number (21021000).

Almost surely, 2^4111091712 is an apocalyptic number.

4111091712 is a gapful number since it is divisible by the number (42) 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 4111091712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072064000).

4111091712 is an abundant number, since it is smaller than the sum of its proper divisors (12033036288).

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

4111091712 is a wasteful number, since it uses less digits than its factorization.

4111091712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 4111091712 is about 64117.7955952948. The cubic root of 4111091712 is about 1601.9626581653.

Adding to 4111091712 its reverse (2171901114), we get a palindrome (6282992826).

The spelling of 4111091712 in words is "four billion, one hundred eleven million, ninety-one thousand, seven hundred twelve".