411805888352352 has 1728 divisors, whose sum is σ = 1430630735579136. Its totient is φ = 115697593589760.

The previous prime is 411805888352351. The next prime is 411805888352377. The reversal of 411805888352352 is 253253888508114.

411805888352352 is a `hidden beast` number, since 4 + 1 + 1 + 8 + 0 + 58 + 8 + 8 + 3 + 523 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 411805888352352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411805888352351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 354089327323 + ... + 354089328485.

It is an arithmetic number, because the mean of its divisors is an integer number (827911305312).

Almost surely, 2^{411805888352352} 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 411805888352352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715315367789568).

411805888352352 is an abundant number, since it is smaller than the sum of its proper divisors (1018824847226784).

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

411805888352352 is a wasteful number, since it uses less digits than its factorization.

411805888352352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 411805888352352 in words is "four hundred eleven trillion, eight hundred five billion, eight hundred eighty-eight million, three hundred fifty-two thousand, three hundred fifty-two".