411156218880 has 792 divisors, whose sum is σ = 1609062216216. Its totient is φ = 96931676160.

The previous prime is 411156218873. The next prime is 411156218881. The reversal of 411156218880 is 88812651114.

411156218880 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 562 + 1 + 8 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 158493164544 + 252663054336 = 398112^2 + 502656^2 .

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (411156218881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206299164 + ... + 206301156.

Almost surely, 2^411156218880 is an apocalyptic number.

411156218880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411156218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804531108108).

411156218880 is an abundant number, since it is smaller than the sum of its proper divisors (1197905997336).

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

411156218880 is a wasteful number, since it uses less digits than its factorization.

411156218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

Adding to 411156218880 its reverse (88812651114), we get a palindrome (499968869994).

It can be divided in two parts, 411156 and 218880, that added together give a palindrome (630036).

The spelling of 411156218880 in words is "four hundred eleven billion, one hundred fifty-six million, two hundred eighteen thousand, eight hundred eighty".