410065425252 has 216 divisors, whose sum is σ = 1216493623800. Its totient is φ = 116124825600.

The previous prime is 410065425197. The next prime is 410065425269. The reversal of 410065425252 is 252524560014.

410065425252 is a `hidden beast` number, since 4 + 10 + 0 + 6 + 542 + 52 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1598720256 + 408466704996 = 39984^2 + 639114^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 146398252 + ... + 146401052.

It is an arithmetic number, because the mean of its divisors is an integer number (5631914925).

Almost surely, 2^410065425252 is an apocalyptic number.

410065425252 is a gapful number since it is divisible by the number (42) 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 410065425252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608246811900).

410065425252 is an abundant number, since it is smaller than the sum of its proper divisors (806428198548).

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

410065425252 is a wasteful number, since it uses less digits than its factorization.

410065425252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 410065425252 its reverse (252524560014), we get a palindrome (662589985266).

The spelling of 410065425252 in words is "four hundred ten billion, sixty-five million, four hundred twenty-five thousand, two hundred fifty-two".