4411122044040 has 320 divisors, whose sum is σ = 14901358071600. Its totient is φ = 1170357092352.

The previous prime is 4411122044027. The next prime is 4411122044041. The reversal of 4411122044040 is 404402211144.

It is a happy number.

4411122044040 is a `hidden beast` number, since 4 + 41 + 1 + 12 + 204 + 404 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3545139185316 + 865982858724 = 1882854^2 + 930582^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4411122043995 and 4411122044013.

It is not an unprimeable number, because it can be changed into a prime (4411122044041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 555762952 + ... + 555770888.

Almost surely, 2^{4411122044040} is an apocalyptic number.

4411122044040 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 4411122044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7450679035800).

4411122044040 is an abundant number, since it is smaller than the sum of its proper divisors (10490236027560).

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

4411122044040 is a wasteful number, since it uses less digits than its factorization.

4411122044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8806 (or 8793 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4411122044040 its reverse (404402211144), we get a palindrome (4815524255184).

The spelling of 4411122044040 in words is "four trillion, four hundred eleven billion, one hundred twenty-two million, forty-four thousand, forty".