411681669120 has 360 divisors, whose sum is σ = 1462034705040. Its totient is φ = 107096309760.

The previous prime is 411681669101. The next prime is 411681669121. The reversal of 411681669120 is 21966186114.

411681669120 is a `hidden beast` number, since 411 + 68 + 166 + 9 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411681669121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30221671 + ... + 30235289.

It is an arithmetic number, because the mean of its divisors is an integer number (4061207514).

Almost surely, 2^411681669120 is an apocalyptic number.

411681669120 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 411681669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731017352520).

411681669120 is an abundant number, since it is smaller than the sum of its proper divisors (1050353035920).

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

411681669120 is a wasteful number, since it uses less digits than its factorization.

411681669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13699 (or 13670 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

It can be divided in two parts, 411681 and 669120, that added together give a palindrome (1080801).

The spelling of 411681669120 in words is "four hundred eleven billion, six hundred eighty-one million, six hundred sixty-nine thousand, one hundred twenty".