4055590441000 has 256 divisors, whose sum is σ = 10964454359040. Its totient is φ = 1375344230400.

The previous prime is 4055590440971. The next prime is 4055590441009. The reversal of 4055590441000 is 1440955504.

It is not an unprimeable number, because it can be changed into a prime (4055590441009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 299586232 + ... + 299599768.

It is an arithmetic number, because the mean of its divisors is an integer number (42829899840).

Almost surely, 2^{4055590441000} is an apocalyptic number.

4055590441000 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 4055590441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5482227179520).

4055590441000 is an abundant number, since it is smaller than the sum of its proper divisors (6908863918040).

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

4055590441000 is a wasteful number, since it uses less digits than its factorization.

4055590441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14029 (or 14015 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 4055590441000 in words is "four trillion, fifty-five billion, five hundred ninety million, four hundred forty-one thousand".