4041031680000 has 2160 divisors, whose sum is σ = 17885534546880. Its totient is φ = 891813888000.

The previous prime is 4041031679983. The next prime is 4041031680017. The reversal of 4041031680000 is 861301404.

It is an interprime number because it is at equal distance from previous prime (4041031679983) and next prime (4041031680017).

It is a tau number, because it is divible by the number of its divisors (2160).

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

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 119 ways as a sum of consecutive naturals, for example, 139345919986 + ... + 139345920014.

It is an arithmetic number, because the mean of its divisors is an integer number (8280340068).

Almost surely, 2^{4041031680000} is an apocalyptic number.

4041031680000 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 4041031680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8942767273440).

4041031680000 is an abundant number, since it is smaller than the sum of its proper divisors (13844502866880).

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

4041031680000 is an frugal number, since it uses more digits than its factorization.

4041031680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 46 counting only the distinct ones).

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

Adding to 4041031680000 its reverse (861301404), we get a palindrome (4041892981404).

The spelling of 4041031680000 in words is "four trillion, forty-one billion, thirty-one million, six hundred eighty thousand".