4111788096 has 560 divisors, whose sum is σ = 14421130416. Its totient is φ = 1146617856.

The previous prime is 4111788067. The next prime is 4111788101. The reversal of 4111788096 is 6908871114.

It is a happy number.

4111788096 is a `hidden beast` number, since 411 + 1 + 78 + 80 + 96 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 97298496 + 4014489600 = 9864^2 + 63360^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42389520 + ... + 42389616.

Almost surely, 2^4111788096 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 4111788096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7210565208).

4111788096 is an abundant number, since it is smaller than the sum of its proper divisors (10309342320).

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

4111788096 is a wasteful number, since it uses less digits than its factorization.

4111788096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 4111788096 is about 64123.2258701946. The cubic root of 4111788096 is about 1602.0531060121.

The spelling of 4111788096 in words is "four billion, one hundred eleven million, seven hundred eighty-eight thousand, ninety-six".