4411152410240 has 128 divisors (see below), whose sum is σ = 10922752350720. Its totient is φ = 1701712834560.

The previous prime is 4411152410237. The next prime is 4411152410261. The reversal of 4411152410240 is 420142511144.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4411152410240² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5433707 + ... + 6192533.

It is an arithmetic number, because the mean of its divisors is an integer number (85334002740).

Almost surely, 2^{4411152410240} is an apocalyptic number.

4411152410240 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 4411152410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461376175360).

4411152410240 is an abundant number, since it is smaller than the sum of its proper divisors (6511599940480).

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

4411152410240 is a wasteful number, since it uses less digits than its factorization.

4411152410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759170 (or 759158 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

Adding to 4411152410240 its reverse (420142511144), we get a palindrome (4831294921384).

The spelling of 4411152410240 in words is "four trillion, four hundred eleven billion, one hundred fifty-two million, four hundred ten thousand, two hundred forty".