411740521920 has 1344 divisors, whose sum is σ = 1866895220736. Its totient is φ = 84025589760.

The previous prime is 411740521861. The next prime is 411740521921. The reversal of 411740521920 is 29125047114.

411740521920 is a `hidden beast` number, since 4 + 1 + 1 + 7 + 40 + 521 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411740521921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219360022 + ... + 219361898.

It is an arithmetic number, because the mean of its divisors is an integer number (1389058944).

Almost surely, 2^411740521920 is an apocalyptic number.

411740521920 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 411740521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933447610368).

411740521920 is an abundant number, since it is smaller than the sum of its proper divisors (1455154698816).

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

411740521920 is a wasteful number, since it uses less digits than its factorization.

411740521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 411740521920 in words is "four hundred eleven billion, seven hundred forty million, five hundred twenty-one thousand, nine hundred twenty".