411817136640 has 480 divisors, whose sum is σ = 1649296313280. Its totient is φ = 86887858176.

The previous prime is 411817136623. The next prime is 411817136683. The reversal of 411817136640 is 46631718114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 411817136592 and 411817136601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4850071 + ... + 4934249.

It is an arithmetic number, because the mean of its divisors is an integer number (3436033986).

Almost surely, 2^411817136640 is an apocalyptic number.

411817136640 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 411817136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824648156640).

411817136640 is an abundant number, since it is smaller than the sum of its proper divisors (1237479176640).

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

411817136640 is a wasteful number, since it uses less digits than its factorization.

411817136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84232 (or 84209 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 411817136640 in words is "four hundred eleven billion, eight hundred seventeen million, one hundred thirty-six thousand, six hundred forty".