411395161464 has 256 divisors, whose sum is σ = 1317163161600. Its totient is φ = 116542540800.

The previous prime is 411395161447. The next prime is 411395161483. The reversal of 411395161464 is 464161593114.

It is a happy number.

411395161464 is a `hidden beast` number, since 4 + 1 + 139 + 51 + 6 + 1 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92633484 + ... + 92637924.

It is an arithmetic number, because the mean of its divisors is an integer number (5145168600).

Almost surely, 2^411395161464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411395161464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658581580800).

411395161464 is an abundant number, since it is smaller than the sum of its proper divisors (905768000136).

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

411395161464 is a wasteful number, since it uses less digits than its factorization.

411395161464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971 (or 4961 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 411395161464 in words is "four hundred eleven billion, three hundred ninety-five million, one hundred sixty-one thousand, four hundred sixty-four".