4084554240 has 360 divisors, whose sum is σ = 15332417100. Its totient is φ = 1004470272.

The previous prime is 4084554197. The next prime is 4084554277. The reversal of 4084554240 is 424554804.

4084554240 is a `hidden beast` number, since 4 + 0 + 84 + 554 + 24 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1158177024 + 2926377216 = 34032^2 + 54096^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4084554195 and 4084554204.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3893236 + ... + 3894284.

Almost surely, 2^4084554240 is an apocalyptic number.

4084554240 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 4084554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7666208550).

4084554240 is an abundant number, since it is smaller than the sum of its proper divisors (11247862860).

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

4084554240 is a wasteful number, since it uses less digits than its factorization.

4084554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 4084554240 is about 63910.5174443143. The cubic root of 4084554240 is about 1598.5082763242.

The spelling of 4084554240 in words is "four billion, eighty-four million, five hundred fifty-four thousand, two hundred forty".