411691721785344 has 3072 divisors, whose sum is σ = 1641511452672000. Its totient is φ = 95994846904320.

The previous prime is 411691721785327. The next prime is 411691721785349. The reversal of 411691721785344 is 443587127196114.

411691721785344 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 9 + 1 + 7 + 21 + 78 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411691721785349) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2961810948027 + ... + 2961810948165.

It is an arithmetic number, because the mean of its divisors is an integer number (534346176000).

Almost surely, 2^{411691721785344} is an apocalyptic number.

411691721785344 is a gapful number since it is divisible by the number (44) 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 411691721785344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820755726336000).

411691721785344 is an abundant number, since it is smaller than the sum of its proper divisors (1229819730886656).

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

411691721785344 is a wasteful number, since it uses less digits than its factorization.

411691721785344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 381 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 411691721785344 in words is "four hundred eleven trillion, six hundred ninety-one billion, seven hundred twenty-one million, seven hundred eighty-five thousand, three hundred forty-four".