411141440 has 56 divisors (see below), whose sum is σ = 1002941352. Its totient is φ = 160440320.

The previous prime is 411141433. The next prime is 411141457. The reversal of 411141440 is 44141114.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41886784 + 369254656 = 6472^2 + 19216^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2549 + ... + 28788.

It is an arithmetic number, because the mean of its divisors is an integer number (17909667).

Almost surely, 2^411141440 is an apocalyptic number.

411141440 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 411141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501470676).

411141440 is an abundant number, since it is smaller than the sum of its proper divisors (591799912).

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

411141440 is a wasteful number, since it uses less digits than its factorization.

411141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31395 (or 31385 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 411141440 is about 20276.6229929937. The cubic root of 411141440 is about 743.5846527428.

Adding to 411141440 its reverse (44141114), we get a palindrome (455282554).

The spelling of 411141440 in words is "four hundred eleven million, one hundred forty-one thousand, four hundred forty".