411882342474240 has 3360 divisors, whose sum is σ = 1814244753404160. Its totient is φ = 89014810705920.

The previous prime is 411882342474181. The next prime is 411882342474241. The reversal of 411882342474240 is 42474243288114.

It is a happy number.

411882342474240 is a `hidden beast` number, since 4 + 1 + 1 + 88 + 234 + 24 + 74 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (411882342474241) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 72938255097 + ... + 72938260743.

It is an arithmetic number, because the mean of its divisors is an integer number (539953795656).

Almost surely, 2^{411882342474240} is an apocalyptic number.

411882342474240 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 411882342474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907122376702080).

411882342474240 is an abundant number, since it is smaller than the sum of its proper divisors (1402362410929920).

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

411882342474240 is a wasteful number, since it uses less digits than its factorization.

411882342474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5746 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 54.

The spelling of 411882342474240 in words is "four hundred eleven trillion, eight hundred eighty-two billion, three hundred forty-two million, four hundred seventy-four thousand, two hundred forty".