411242402030200 has 384 divisors, whose sum is σ = 1091767022438400. Its totient is φ = 142961302149120.

The previous prime is 411242402030197. The next prime is 411242402030203. The reversal of 411242402030200 is 2030204242114.

It is an interprime number because it is at equal distance from previous prime (411242402030197) and next prime (411242402030203).

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 (411242402030203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1967910919 + ... + 1968119881.

It is an arithmetic number, because the mean of its divisors is an integer number (2843143287600).

Almost surely, 2^{411242402030200} is an apocalyptic number.

411242402030200 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 411242402030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545883511219200).

411242402030200 is an abundant number, since it is smaller than the sum of its proper divisors (680524620408200).

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

411242402030200 is a wasteful number, since it uses less digits than its factorization.

411242402030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209671 (or 209662 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 411242402030200 its reverse (2030204242114), we get a palindrome (413272606272314).

The spelling of 411242402030200 in words is "four hundred eleven trillion, two hundred forty-two billion, four hundred two million, thirty thousand, two hundred".