411503360400 has 1200 divisors, whose sum is σ = 1723116975360. Its totient is φ = 92994739200.

The previous prime is 411503360399. The next prime is 411503360417. The reversal of 411503360400 is 4063305114.

411503360400 is a `hidden beast` number, since 4 + 1 + 1 + 50 + 3 + 3 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 453696747 + ... + 453697653.

Almost surely, 2^411503360400 is an apocalyptic number.

411503360400 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 411503360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861558487680).

411503360400 is an abundant number, since it is smaller than the sum of its proper divisors (1311613614960).

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

411503360400 is a wasteful number, since it uses less digits than its factorization.

411503360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 411503360400 its reverse (4063305114), we get a palindrome (415566665514).

It can be divided in two parts, 411503 and 360400, that added together give a triangular number (771903 = T₁₂₄₂).

The spelling of 411503360400 in words is "four hundred eleven billion, five hundred three million, three hundred sixty thousand, four hundred".