411141122332000 has 192 divisors, whose sum is σ = 1036271952031680. Its totient is φ = 160218972672000.

The previous prime is 411141122331991. The next prime is 411141122332001. The reversal of 411141122332000 is 233221141114.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411141122332001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114508047 + ... + 118043953.

It is an arithmetic number, because the mean of its divisors is an integer number (5397249750165).

Almost surely, 2^{411141122332000} is an apocalyptic number.

411141122332000 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 411141122332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518135976015840).

411141122332000 is an abundant number, since it is smaller than the sum of its proper divisors (625130829699680).

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

411141122332000 is a wasteful number, since it uses less digits than its factorization.

411141122332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536682 (or 3536664 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 411141122332000 its reverse (233221141114), we get a palindrome (411374343473114).

The spelling of 411141122332000 in words is "four hundred eleven trillion, one hundred forty-one billion, one hundred twenty-two million, three hundred thirty-two thousand".