4041031680 has 720 divisors, whose sum is σ = 17175150720. Its totient is φ = 891813888.

The previous prime is 4041031679. The next prime is 4041031697. The reversal of 4041031680 is 861301404.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139345906 + ... + 139345934.

It is an arithmetic number, because the mean of its divisors is an integer number (23854376).

Almost surely, 2^4041031680 is an apocalyptic number.

4041031680 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 4041031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587575360).

4041031680 is an abundant number, since it is smaller than the sum of its proper divisors (13134119040).

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

4041031680 is an frugal number, since it uses more digits than its factorization.

4041031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4041031680 is about 63569.1094793690. The cubic root of 4041031680 is about 1592.8104086665.

The spelling of 4041031680 in words is "four billion, forty-one million, thirty-one thousand, six hundred eighty".