411504213006 has 160 divisors (see below), whose sum is σ = 1027082073600. Its totient is φ = 122546571840.

The previous prime is 411504212971. The next prime is 411504213007. The reversal of 411504213006 is 600312405114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411504213007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4985440 + ... + 5067308.

It is an arithmetic number, because the mean of its divisors is an integer number (6419262960).

Almost surely, 2^411504213006 is an apocalyptic number.

411504213006 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 411504213006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513541036800).

411504213006 is an abundant number, since it is smaller than the sum of its proper divisors (615577860594).

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

411504213006 is a wasteful number, since it uses less digits than its factorization.

411504213006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81996 (or 81987 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 411504213006 in words is "four hundred eleven billion, five hundred four million, two hundred thirteen thousand, six".