4086149760 has 1024 divisors, whose sum is σ = 18753638400. Its totient is φ = 816168960.

The previous prime is 4086149759. The next prime is 4086149803. The reversal of 4086149760 is 679416804.

4086149760 is a `hidden beast` number, since 40 + 8 + 61 + 497 + 60 = 666.

It is a super-2 number, since 2×4086149760² = 33393239722296115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49230679 + ... + 49230761.

It is an arithmetic number, because the mean of its divisors is an integer number (18314100).

Almost surely, 2^4086149760 is an apocalyptic number.

4086149760 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 4086149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9376819200).

4086149760 is an abundant number, since it is smaller than the sum of its proper divisors (14667488640).

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

4086149760 is a wasteful number, since it uses less digits than its factorization.

4086149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4086149760 is about 63922.9986780971. The cubic root of 4086149760 is about 1598.7163871533.

The spelling of 4086149760 in words is "four billion, eighty-six million, one hundred forty-nine thousand, seven hundred sixty".