411121152 has 120 divisors (see below), whose sum is σ = 1277980704. Its totient is φ = 126480384.

The previous prime is 411121147. The next prime is 411121201. The reversal of 411121152 is 251121114.

It is a super-3 number, since 3×411121152³ (a number of 27 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 56473 + ... + 63335.

Almost surely, 2^411121152 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 411121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638990352).

411121152 is an abundant number, since it is smaller than the sum of its proper divisors (866859552).

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

411121152 is a wasteful number, since it uses less digits than its factorization.

411121152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6900 (or 6881 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 411121152 is about 20276.1227062770. The cubic root of 411121152 is about 743.5724216773.

Adding to 411121152 its reverse (251121114), we get a palindrome (662242266).

The spelling of 411121152 in words is "four hundred eleven million, one hundred twenty-one thousand, one hundred fifty-two".