4084016400 has 90 divisors (see below), whose sum is σ = 14172683850. Its totient is φ = 1089070080.

The previous prime is 4084016383. The next prime is 4084016441. The reversal of 4084016400 is 46104804.

It can be written as a sum of positive squares in 3 ways, for example, as 3873024 + 4080143376 = 1968^2 + 63876^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 563625 + ... + 570824.

It is an arithmetic number, because the mean of its divisors is an integer number (157474265).

Almost surely, 2^4084016400 is an apocalyptic number.

4084016400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4084016400 is an abundant number, since it is smaller than the sum of its proper divisors (10088667450).

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

4084016400 is a wasteful number, since it uses less digits than its factorization.

4084016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134473 (or 1134459 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4084016400 is about 63906.3095476495. The cubic root of 4084016400 is about 1598.4381112275.

The spelling of 4084016400 in words is "four billion, eighty-four million, sixteen thousand, four hundred".