411876782720 has 256 divisors, whose sum is σ = 1107084132000. Its totient is φ = 145477140480.

The previous prime is 411876782701. The next prime is 411876782767. The reversal of 411876782720 is 27287678114.

It can be written as a sum of positive squares in 16 ways, for example, as 125446305856 + 286430476864 = 354184^2 + 535192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26291690 + ... + 26307350.

Almost surely, 2^411876782720 is an apocalyptic number.

411876782720 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 411876782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553542066000).

411876782720 is an abundant number, since it is smaller than the sum of its proper divisors (695207349280).

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

411876782720 is a wasteful number, since it uses less digits than its factorization.

411876782720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15831 (or 15819 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 53.

The spelling of 411876782720 in words is "four hundred eleven billion, eight hundred seventy-six million, seven hundred eighty-two thousand, seven hundred twenty".