411323028480 has 1848 divisors, whose sum is σ = 1863980628552. Its totient is φ = 86282993664.

The previous prime is 411323028451. The next prime is 411323028497. The reversal of 411323028480 is 84820323114.

It is a happy number.

411323028480 is a `hidden beast` number, since 41 + 132 + 3 + 0 + 2 + 8 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52819070976 + 358503957504 = 229824^2 + 598752^2 .

It is a super-2 number, since 2×411323028480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2377589674 + ... + 2377589846.

Almost surely, 2^411323028480 is an apocalyptic number.

411323028480 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 411323028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931990314276).

411323028480 is an abundant number, since it is smaller than the sum of its proper divisors (1452657600072).

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

411323028480 is a wasteful number, since it uses less digits than its factorization.

411323028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 411323028480 in words is "four hundred eleven billion, three hundred twenty-three million, twenty-eight thousand, four hundred eighty".