411000241304400 has 960 divisors, whose sum is σ = 1546283774361600. Its totient is φ = 92248526592000.

The previous prime is 411000241304399. The next prime is 411000241304431. The reversal of 411000241304400 is 4403142000114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8145206371 + ... + 8145256829.

It is an arithmetic number, because the mean of its divisors is an integer number (1610712264960).

Almost surely, 2^{411000241304400} is an apocalyptic number.

411000241304400 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 411000241304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773141887180800).

411000241304400 is an abundant number, since it is smaller than the sum of its proper divisors (1135283533057200).

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

411000241304400 is a wasteful number, since it uses less digits than its factorization.

411000241304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51248 (or 51237 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 411000241304400 its reverse (4403142000114), we get a palindrome (415403383304514).

The spelling of 411000241304400 in words is "four hundred eleven trillion, two hundred forty-one million, three hundred four thousand, four hundred".