411787998160 has 480 divisors, whose sum is σ = 1232519328000. Its totient is φ = 124280217600.

The previous prime is 411787998133. The next prime is 411787998169. The reversal of 411787998160 is 61899787114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411787998169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2763677766 + ... + 2763677914.

It is an arithmetic number, because the mean of its divisors is an integer number (2567748600).

Almost surely, 2^411787998160 is an apocalyptic number.

411787998160 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 411787998160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616259664000).

411787998160 is an abundant number, since it is smaller than the sum of its proper divisors (820731329840).

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

411787998160 is a wasteful number, since it uses less digits than its factorization.

411787998160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 61.

The spelling of 411787998160 in words is "four hundred eleven billion, seven hundred eighty-seven million, nine hundred ninety-eight thousand, one hundred sixty".