4086880920 has 192 divisors, whose sum is σ = 14585145120. Its totient is φ = 1025685504.

The previous prime is 4086880849. The next prime is 4086880927. The reversal of 4086880920 is 290886804.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4086880927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152874 + ... + 177606.

Almost surely, 2^4086880920 is an apocalyptic number.

4086880920 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 4086880920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7292572560).

4086880920 is an abundant number, since it is smaller than the sum of its proper divisors (10498264200).

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

4086880920 is a wasteful number, since it uses less digits than its factorization.

4086880920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24776 (or 24760 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4086880920 is about 63928.7174906552. The cubic root of 4086880920 is about 1598.8117375303.

The spelling of 4086880920 in words is "four billion, eighty-six million, eight hundred eighty thousand, nine hundred twenty".