411340084164 has 243 divisors, whose sum is σ = 1120150772013. Its totient is φ = 132160794912.

The previous prime is 411340084153. The next prime is 411340084171. The reversal of 411340084164 is 461480043114.

It is a happy number.

The square root of 411340084164 is 641358.

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

411340084164 is a `hidden beast` number, since 4 + 1 + 13 + 400 + 84 + 164 = 666.

It can be written as a sum of positive squares in only one way, i.e., 368072756100 + 43267328064 = 606690^2 + 208008^2 .

It is a tau number, because it is divible by the number of its divisors (243).

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 80 ways as a sum of consecutive naturals, for example, 3844299799 + ... + 3844299905.

Almost surely, 2^411340084164 is an apocalyptic number.

411340084164 is the 641358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411340084164

411340084164 is an abundant number, since it is smaller than the sum of its proper divisors (708810687849).

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

411340084164 is an frugal number, since it uses more digits than its factorization.

411340084164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 149 counting only the distinct ones).

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

Multiplying 411340084164 by its sum of digits (36), we get a square (14808243029904 = 3848148²).

411340084164 divided by its sum of digits (36) gives a square (11426113449 = 106893²).

The spelling of 411340084164 in words is "four hundred eleven billion, three hundred forty million, eighty-four thousand, one hundred sixty-four".