411909900000 has 576 divisors, whose sum is σ = 1421944989696. Its totient is φ = 104267520000.

The previous prime is 411909899987. The next prime is 411909900019. The reversal of 411909900000 is 9909114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 477299569 + ... + 477300431.

It is an arithmetic number, because the mean of its divisors is an integer number (2468654496).

Almost surely, 2^411909900000 is an apocalyptic number.

411909900000 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 411909900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710972494848).

411909900000 is an abundant number, since it is smaller than the sum of its proper divisors (1010035089696).

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

411909900000 is an equidigital number, since it uses as much as digits as its factorization.

411909900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The spelling of 411909900000 in words is "four hundred eleven billion, nine hundred nine million, nine hundred thousand".