411352128 has 448 divisors, whose sum is σ = 1492300800. Its totient is φ = 109486080.

The previous prime is 411352127. The next prime is 411352163. The reversal of 411352128 is 821253114.

411352128 is a `hidden beast` number, since 4 + 113 + 521 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (411352127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6139551 + ... + 6139617.

Almost surely, 2^411352128 is an apocalyptic number.

411352128 is a gapful number since it is divisible by the number (48) 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 411352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746150400).

411352128 is an abundant number, since it is smaller than the sum of its proper divisors (1080948672).

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

411352128 is a wasteful number, since it uses less digits than its factorization.

411352128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 411352128 is about 20281.8176700216. The cubic root of 411352128 is about 743.7116468418.

The spelling of 411352128 in words is "four hundred eleven million, three hundred fifty-two thousand, one hundred twenty-eight".