4084078880 has 384 divisors, whose sum is σ = 12355338240. Its totient is φ = 1244160000.

The previous prime is 4084078877. The next prime is 4084078891. The reversal of 4084078880 is 888704804.

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, 27046805 + ... + 27046955.

It is an arithmetic number, because the mean of its divisors is an integer number (32175360).

Almost surely, 2^4084078880 is an apocalyptic number.

4084078880 is a gapful number since it is divisible by the number (40) 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 4084078880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177669120).

4084078880 is an abundant number, since it is smaller than the sum of its proper divisors (8271259360).

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

4084078880 is a wasteful number, since it uses less digits than its factorization.

4084078880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 47.

The square root of 4084078880 is about 63906.7983864002. The cubic root of 4084078880 is about 1598.4462625091.

The spelling of 4084078880 in words is "four billion, eighty-four million, seventy-eight thousand, eight hundred eighty".