411312245760 has 1760 divisors, whose sum is σ = 1725708644352. Its totient is φ = 92844195840.

The previous prime is 411312245681. The next prime is 411312245777. The reversal of 411312245760 is 67542213114.

411312245760 is a `hidden beast` number, since 41 + 1 + 312 + 245 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3844039627 + ... + 3844039733.

Almost surely, 2^411312245760 is an apocalyptic number.

411312245760 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 411312245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862854322176).

411312245760 is an abundant number, since it is smaller than the sum of its proper divisors (1314396398592).

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

411312245760 is a wasteful number, since it uses less digits than its factorization.

411312245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 411312245760 its reverse (67542213114), we get a palindrome (478854458874).

The spelling of 411312245760 in words is "four hundred eleven billion, three hundred twelve million, two hundred forty-five thousand, seven hundred sixty".