411471538800 has 480 divisors, whose sum is σ = 1561675617792. Its totient is φ = 90646179840.

The previous prime is 411471538783. The next prime is 411471538811. The reversal of 411471538800 is 8835174114.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33249414 + ... + 33261786.

Almost surely, 2^411471538800 is an apocalyptic number.

411471538800 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 411471538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780837808896).

411471538800 is an abundant number, since it is smaller than the sum of its proper divisors (1150204078992).

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

411471538800 is a wasteful number, since it uses less digits than its factorization.

411471538800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12545 (or 12534 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 411471538800 in words is "four hundred eleven billion, four hundred seventy-one million, five hundred thirty-eight thousand, eight hundred".