410841383040 has 1536 divisors, whose sum is σ = 1697171374080. Its totient is φ = 94058496000.

The previous prime is 410841383039. The next prime is 410841383041. The reversal of 410841383040 is 40383148014.

410841383040 is a `hidden beast` number, since 410 + 84 + 138 + 30 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (410841383039) and next prime (410841383041).

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

It is a junction number, because it is equal to n+sod(n) for n = 410841382986 and 410841383004.

It is not an unprimeable number, because it can be changed into a prime (410841383041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3234971457 + ... + 3234971583.

It is an arithmetic number, because the mean of its divisors is an integer number (1104929280).

Almost surely, 2^410841383040 is an apocalyptic number.

410841383040 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 410841383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848585687040).

410841383040 is an abundant number, since it is smaller than the sum of its proper divisors (1286329991040).

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

410841383040 is a wasteful number, since it uses less digits than its factorization.

410841383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

It can be divided in two parts, 410841 and 383040, that added together give a square (793881 = 891²).

The spelling of 410841383040 in words is "four hundred ten billion, eight hundred forty-one million, three hundred eighty-three thousand, forty".