4410801990144 has 320 divisors, whose sum is σ = 14334013457280. Its totient is φ = 1328086056960.

The previous prime is 4410801990143. The next prime is 4410801990157. The reversal of 4410801990144 is 4410991080144.

It is a happy number.

4410801990144 is a `hidden beast` number, since 4 + 410 + 8 + 0 + 1 + 9 + 90 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4410801990144.

It is not an unprimeable number, because it can be changed into a prime (4410801990143) 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 31 ways as a sum of consecutive naturals, for example, 23781672 + ... + 23966424.

It is an arithmetic number, because the mean of its divisors is an integer number (44793792054).

Almost surely, 2^{4410801990144} is an apocalyptic number.

4410801990144 is a gapful number since it is divisible by the number (44) 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 4410801990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7167006728640).

4410801990144 is an abundant number, since it is smaller than the sum of its proper divisors (9923211467136).

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

4410801990144 is a wasteful number, since it uses less digits than its factorization.

4410801990144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184948 (or 184926 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 4410801990144 in words is "four trillion, four hundred ten billion, eight hundred one million, nine hundred ninety thousand, one hundred forty-four".