4139828784 has 640 divisors, whose sum is σ = 15643443200. Its totient is φ = 1018967040.

The previous prime is 4139828743. The next prime is 4139828801. The reversal of 4139828784 is 4878289314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4139828784.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52402857 + ... + 52402935.

It is an arithmetic number, because the mean of its divisors is an integer number (24442880).

Almost surely, 2^4139828784 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 4139828784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7821721600).

4139828784 is an abundant number, since it is smaller than the sum of its proper divisors (11503614416).

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

4139828784 is a wasteful number, since it uses less digits than its factorization.

4139828784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 4139828784 is about 64341.5012569648. The cubic root of 4139828784 is about 1605.6866378161.

The spelling of 4139828784 in words is "four billion, one hundred thirty-nine million, eight hundred twenty-eight thousand, seven hundred eighty-four".