4085667840 has 192 divisors, whose sum is σ = 13161657600. Its totient is φ = 1081966592.

The previous prime is 4085667827. The next prime is 4085667863. The reversal of 4085667840 is 487665804.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4085667840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5498509 + ... + 5499251.

It is an arithmetic number, because the mean of its divisors is an integer number (68550300).

Almost surely, 2^4085667840 is an apocalyptic number.

4085667840 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 4085667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580828800).

4085667840 is an abundant number, since it is smaller than the sum of its proper divisors (9075989760).

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

4085667840 is a wasteful number, since it uses less digits than its factorization.

4085667840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 4085667840 is about 63919.2290316459. The cubic root of 4085667840 is about 1598.6535338776.

The spelling of 4085667840 in words is "four billion, eighty-five million, six hundred sixty-seven thousand, eight hundred forty".