411431132224 has 112 divisors (see below), whose sum is σ = 957024061056. Its totient is φ = 171811123200.

The previous prime is 411431132221. The next prime is 411431132227. The reversal of 411431132224 is 422231134114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (411431132221) and next prime (411431132227).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 411431132192 and 411431132201.

It is not an unprimeable number, because it can be changed into a prime (411431132221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15066487 + ... + 15093769.

It is an arithmetic number, because the mean of its divisors is an integer number (8544857688).

Almost surely, 2^411431132224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411431132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478512030528).

411431132224 is an abundant number, since it is smaller than the sum of its proper divisors (545592928832).

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

411431132224 is a wasteful number, since it uses less digits than its factorization.

411431132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28164 (or 28154 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

Adding to 411431132224 its reverse (422231134114), we get a palindrome (833662266338).

The spelling of 411431132224 in words is "four hundred eleven billion, four hundred thirty-one million, one hundred thirty-two thousand, two hundred twenty-four".