4086333440 has 192 divisors, whose sum is σ = 11430614700. Its totient is φ = 1398276096.

The previous prime is 4086333431. The next prime is 4086333467. The reversal of 4086333440 is 443336804.

It can be written as a sum of positive squares in 2 ways, for example, as 4046995456 + 39337984 = 63616^2 + 6272^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4086333440.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8027906 + ... + 8028414.

Almost surely, 2^4086333440 is an apocalyptic number.

4086333440 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 4086333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715307350).

4086333440 is an abundant number, since it is smaller than the sum of its proper divisors (7344281260).

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

4086333440 is an frugal number, since it uses more digits than its factorization.

4086333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The square root of 4086333440 is about 63924.4353905453. The cubic root of 4086333440 is about 1598.7403418820.

The spelling of 4086333440 in words is "four billion, eighty-six million, three hundred thirty-three thousand, four hundred forty".