4081804097280 has 1152 divisors, whose sum is σ = 16836207575040. Its totient is φ = 819150520320.

The previous prime is 4081804097249. The next prime is 4081804097281. The reversal of 4081804097280 is 827904081804.

It is a super-2 number, since 2×4081804097280² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4081804097281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1535088591 + ... + 1535091249.

It is an arithmetic number, because the mean of its divisors is an integer number (14614763520).

Almost surely, 2^{4081804097280} is an apocalyptic number.

4081804097280 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 4081804097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8418103787520).

4081804097280 is an abundant number, since it is smaller than the sum of its proper divisors (12754403477760).

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

4081804097280 is a wasteful number, since it uses less digits than its factorization.

4081804097280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 4081804097280 in words is "four trillion, eighty-one billion, eight hundred four million, ninety-seven thousand, two hundred eighty".