4055097866880 has 1024 divisors, whose sum is σ = 14738879232000. Its totient is φ = 944754720768.

The previous prime is 4055097866857. The next prime is 4055097866881. The reversal of 4055097866880 is 886687905504.

It is not an unprimeable number, because it can be changed into a prime (4055097866881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13208787687 + ... + 13208787993.

It is an arithmetic number, because the mean of its divisors is an integer number (14393436750).

Almost surely, 2^{4055097866880} is an apocalyptic number.

4055097866880 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 4055097866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369439616000).

4055097866880 is an abundant number, since it is smaller than the sum of its proper divisors (10683781365120).

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

4055097866880 is a wasteful number, since it uses less digits than its factorization.

4055097866880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 66.

The spelling of 4055097866880 in words is "four trillion, fifty-five billion, ninety-seven million, eight hundred sixty-six thousand, eight hundred eighty".