411244420440 has 128 divisors (see below), whose sum is σ = 1410576975360. Its totient is φ = 93958984704.

The previous prime is 411244420421. The next prime is 411244420507. The reversal of 411244420440 is 44024442114.

It is a super-3 number, since 3×411244420440³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 411244420398 and 411244420407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1907827 + ... + 2112413.

It is an arithmetic number, because the mean of its divisors is an integer number (11020132620).

Almost surely, 2^411244420440 is an apocalyptic number.

411244420440 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 411244420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705288487680).

411244420440 is an abundant number, since it is smaller than the sum of its proper divisors (999332554920).

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

411244420440 is a wasteful number, since it uses less digits than its factorization.

411244420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207001 (or 206997 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 411244420440 its reverse (44024442114), we get a palindrome (455268862554).

The spelling of 411244420440 in words is "four hundred eleven billion, two hundred forty-four million, four hundred twenty thousand, four hundred forty".