411120000 has 240 divisors, whose sum is σ = 1480916580. Its totient is φ = 109440000.

The previous prime is 411119981. The next prime is 411120007. The reversal of 411120000 is 21114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411120007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719715 + ... + 720285.

Almost surely, 2^411120000 is an apocalyptic number.

411120000 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 411120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740458290).

411120000 is an abundant number, since it is smaller than the sum of its proper divisors (1069796580).

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

411120000 is an equidigital number, since it uses as much as digits as its factorization.

411120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 411120000 is about 20276.0942984590. The cubic root of 411120000 is about 743.5717271568.

Adding to 411120000 its reverse (21114), we get a palindrome (411141114).

The spelling of 411120000 in words is "four hundred eleven million, one hundred twenty thousand".