411232040000 has 140 divisors (see below), whose sum is σ = 1079707229964. Its totient is φ = 154816512000.

The previous prime is 411232039997. The next prime is 411232040059. The reversal of 411232040000 is 40232114.

It can be written as a sum of positive squares in 10 ways, for example, as 119727072256 + 291504967744 = 346016^2 + 539912^2 .

It is a super-2 number, since 2×411232040000² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 377624 + ... + 982376.

Almost surely, 2^411232040000 is an apocalyptic number.

411232040000 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 411232040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539853614982).

411232040000 is an abundant number, since it is smaller than the sum of its proper divisors (668475189964).

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

411232040000 is an equidigital number, since it uses as much as digits as its factorization.

411232040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604802 (or 604777 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 411232040000 its reverse (40232114), we get a palindrome (411272272114).

The spelling of 411232040000 in words is "four hundred eleven billion, two hundred thirty-two million, forty thousand".