411122400000000 has 864 divisors, whose sum is σ = 1475574908567760. Its totient is φ = 101191680000000.

The previous prime is 411122399999947. The next prime is 411122400000007. The reversal of 411122400000000 is 4221114.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411122400000007) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 31199993412 + ... + 31200006588.

Almost surely, 2^{411122400000000} is an apocalyptic number.

411122400000000 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 411122400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737787454283880).

411122400000000 is an abundant number, since it is smaller than the sum of its proper divisors (1064452508567760).

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

411122400000000 is an frugal number, since it uses more digits than its factorization.

411122400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13255 (or 13200 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 411122400000000 its reverse (4221114), we get a palindrome (411122404221114).

The spelling of 411122400000000 in words is "four hundred eleven trillion, one hundred twenty-two billion, four hundred million", and thus it is an aban number.