411252004800 has 1008 divisors, whose sum is σ = 1904925701952. Its totient is φ = 81661132800.

The previous prime is 411252004753. The next prime is 411252004837. The reversal of 411252004800 is 8400252114.

411252004800 is a `hidden beast` number, since 41 + 125 + 20 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×411252004800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 22267570 + ... + 22286030.

It is an arithmetic number, because the mean of its divisors is an integer number (1889807244).

Almost surely, 2^411252004800 is an apocalyptic number.

411252004800 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 411252004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952462850976).

411252004800 is an abundant number, since it is smaller than the sum of its proper divisors (1493673697152).

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

411252004800 is a wasteful number, since it uses less digits than its factorization.

411252004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18526 (or 18508 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 411252004800 its reverse (8400252114), we get a palindrome (419652256914).

The spelling of 411252004800 in words is "four hundred eleven billion, two hundred fifty-two million, four thousand, eight hundred".