411201440 has 192 divisors, whose sum is σ = 1148787360. Its totient is φ = 137625600.

The previous prime is 411201437. The next prime is 411201443. The reversal of 411201440 is 44102114.

It is an interprime number because it is at equal distance from previous prime (411201437) and next prime (411201443).

It can be written as a sum of positive squares in 16 ways, for example, as 142372624 + 268828816 = 11932^2 + 16396^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (411201443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1025240 + ... + 1025640.

Almost surely, 2^411201440 is an apocalyptic number.

411201440 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 411201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574393680).

411201440 is an abundant number, since it is smaller than the sum of its proper divisors (737585920).

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

411201440 is a wasteful number, since it uses less digits than its factorization.

411201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 411201440 is about 20278.1024753304. The cubic root of 411201440 is about 743.6208227034.

Adding to 411201440 its reverse (44102114), we get a palindrome (455303554).

The spelling of 411201440 in words is "four hundred eleven million, two hundred one thousand, four hundred forty".