411315712921 has 9 divisors (see below), whose sum is σ = 413582385279. Its totient is φ = 409061406336.

The previous prime is 411315712903. The next prime is 411315712949. The reversal of 411315712921 is 129217513114.

It is a happy number.

The square root of 411315712921 is 641339.

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., 99657019225 + 311658693696 = 315685^2 + 558264^2 .

It is not a de Polignac number, because 411315712921 - 2¹¹ = 411315710873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (411315712321) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 123776766 + ... + 123780088.

Almost surely, 2^411315712921 is an apocalyptic number.

411315712921 is the 641339-th square number.

411315712921 is the 320670-th centered octagonal number.

It is an amenable number.

411315712921 is a deficient number, since it is larger than the sum of its proper divisors (2266672358).

411315712921 is an frugal number, since it uses more digits than its factorization.

411315712921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7032 (or 3516 counting only the distinct ones).

The product of its digits is 15120, while the sum is 37.

The spelling of 411315712921 in words is "four hundred eleven billion, three hundred fifteen million, seven hundred twelve thousand, nine hundred twenty-one".