411631390720 has 312 divisors, whose sum is σ = 1111295642688. Its totient is φ = 146165268480.

The previous prime is 411631390711. The next prime is 411631390789. The reversal of 411631390720 is 27093136114.

It is a self number, because there is not a number n which added to its sum of digits gives 411631390720.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106555509 + ... + 106559371.

Almost surely, 2^411631390720 is an apocalyptic number.

411631390720 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 411631390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555647821344).

411631390720 is an abundant number, since it is smaller than the sum of its proper divisors (699664251968).

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

411631390720 is a wasteful number, since it uses less digits than its factorization.

411631390720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 411631390720 in words is "four hundred eleven billion, six hundred thirty-one million, three hundred ninety thousand, seven hundred twenty".