411209360640 has 864 divisors, whose sum is σ = 1669874088960. Its totient is φ = 95236521984.

The previous prime is 411209360629. The next prime is 411209360677. The reversal of 411209360640 is 46063902114.

411209360640 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 0 + 9 + 3 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 411209360595 and 411209360604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129840337 + ... + 129843503.

It is an arithmetic number, because the mean of its divisors is an integer number (1932724640).

Almost surely, 2^411209360640 is an apocalyptic number.

411209360640 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 411209360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834937044480).

411209360640 is an abundant number, since it is smaller than the sum of its proper divisors (1258664728320).

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

411209360640 is a wasteful number, since it uses less digits than its factorization.

411209360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 411209360640 in words is "four hundred eleven billion, two hundred nine million, three hundred sixty thousand, six hundred forty".