411721605792 has 144 divisors (see below), whose sum is σ = 1341118658880. Its totient is φ = 117368948736.

The previous prime is 411721605791. The next prime is 411721605797. The reversal of 411721605792 is 297506127114.

411721605792 is a `hidden beast` number, since 4 + 1 + 1 + 72 + 1 + 6 + 0 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (411721605791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 662584 + ... + 1123592.

It is an arithmetic number, because the mean of its divisors is an integer number (9313324020).

Almost surely, 2^411721605792 is an apocalyptic number.

411721605792 is a gapful number since it is divisible by the number (42) 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 411721605792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670559329440).

411721605792 is an abundant number, since it is smaller than the sum of its proper divisors (929397053088).

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

411721605792 is a wasteful number, since it uses less digits than its factorization.

411721605792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461475 (or 461464 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 411721605792 in words is "four hundred eleven billion, seven hundred twenty-one million, six hundred five thousand, seven hundred ninety-two".