410882282001 has 27 divisors (see below), whose sum is σ = 607742165979. Its totient is φ = 267497409312.

The previous prime is 410882281981. The next prime is 410882282029. The reversal of 410882282001 is 100282288014.

The square root of 410882282001 is 641001.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 82828264401 + 328054017600 = 287799^2 + 572760^2 .

It is not a de Polignac number, because 410882282001 - 2⁹ = 410882281489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (410882282101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82686645 + ... + 82691613.

Almost surely, 2^410882282001 is an apocalyptic number.

410882282001 is the 641001-st square number.

410882282001 is the 320501-st centered octagonal number.

It is an amenable number.

410882282001 is a deficient number, since it is larger than the sum of its proper divisors (196859883978).

410882282001 is an frugal number, since it uses more digits than its factorization.

410882282001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10030 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

Multiplying 410882282001 by its sum of digits (36), we get a square (14791762152036 = 3846006²).

The spelling of 410882282001 in words is "four hundred ten billion, eight hundred eighty-two million, two hundred eighty-two thousand, one".