4083386880 has 160 divisors (see below), whose sum is σ = 13622235264. Its totient is φ = 1041514496.

The previous prime is 4083386851. The next prime is 4083386897. The reversal of 4083386880 is 886833804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×4083386880² = 33348096823512268800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165082 + ... + 188198.

Almost surely, 2^4083386880 is an apocalyptic number.

4083386880 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 4083386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6811117632).

4083386880 is an abundant number, since it is smaller than the sum of its proper divisors (9538848384).

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

4083386880 is a wasteful number, since it uses less digits than its factorization.

4083386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23166 (or 23150 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 4083386880 is about 63901.3840225703. The cubic root of 4083386880 is about 1598.3559779900.

The spelling of 4083386880 in words is "four billion, eighty-three million, three hundred eighty-six thousand, eight hundred eighty".