411040224000 has 2304 divisors, whose sum is σ = 1887674880000. Its totient is φ = 87787929600.

The previous prime is 411040223977. The next prime is 411040224013. The reversal of 411040224000 is 422040114.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5630687964 + ... + 5630688036.

Almost surely, 2^411040224000 is an apocalyptic number.

411040224000 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 411040224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943837440000).

411040224000 is an abundant number, since it is smaller than the sum of its proper divisors (1476634656000).

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

411040224000 is an equidigital number, since it uses as much as digits as its factorization.

411040224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 411040224000 its reverse (422040114), we get a palindrome (411462264114).

The spelling of 411040224000 in words is "four hundred eleven billion, forty million, two hundred twenty-four thousand".