411985217952 has 768 divisors, whose sum is σ = 1537101619200. Its totient is φ = 105129446400.

The previous prime is 411985217939. The next prime is 411985217953. The reversal of 411985217952 is 259712589114.

411985217952 is a `hidden beast` number, since 41 + 1 + 9 + 8 + 521 + 79 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (411985217953) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 491042749 + ... + 491043587.

It is an arithmetic number, because the mean of its divisors is an integer number (2001434400).

Almost surely, 2^411985217952 is an apocalyptic number.

411985217952 is a gapful number since it is divisible by the number (42) 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 411985217952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768550809600).

411985217952 is an abundant number, since it is smaller than the sum of its proper divisors (1125116401248).

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

411985217952 is a wasteful number, since it uses less digits than its factorization.

411985217952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 923 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

The spelling of 411985217952 in words is "four hundred eleven billion, nine hundred eighty-five million, two hundred seventeen thousand, nine hundred fifty-two".