411004410432 has 448 divisors, whose sum is σ = 1386540564480. Its totient is φ = 104353228800.

The previous prime is 411004410413. The next prime is 411004410437. The reversal of 411004410432 is 234014400114.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (411004410437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166599663 + ... + 166602129.

Almost surely, 2^411004410432 is an apocalyptic number.

411004410432 is a gapful number since it is divisible by the number (42) 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 411004410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693270282240).

411004410432 is an abundant number, since it is smaller than the sum of its proper divisors (975536154048).

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

411004410432 is a wasteful number, since it uses less digits than its factorization.

411004410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 411004410432 its reverse (234014400114), we get a palindrome (645018810546).

The spelling of 411004410432 in words is "four hundred eleven billion, four million, four hundred ten thousand, four hundred thirty-two".