4133827776 has 112 divisors (see below), whose sum is σ = 11805920000. Its totient is φ = 1269015552.

The previous prime is 4133827769. The next prime is 4133827787. The reversal of 4133827776 is 6777283314.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1243845 + ... + 1247163.

It is an arithmetic number, because the mean of its divisors is an integer number (105410000).

Almost surely, 2^4133827776 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 4133827776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902960000).

4133827776 is an abundant number, since it is smaller than the sum of its proper divisors (7672092224).

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

4133827776 is a wasteful number, since it uses less digits than its factorization.

4133827776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846 (or 3836 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 48.

The square root of 4133827776 is about 64294.8503070036. The cubic root of 4133827776 is about 1604.9104061944.

The spelling of 4133827776 in words is "four billion, one hundred thirty-three million, eight hundred twenty-seven thousand, seven hundred seventy-six".