411981120 has 224 divisors, whose sum is σ = 1490106240. Its totient is φ = 107089920.

The previous prime is 411981107. The next prime is 411981173. The reversal of 411981120 is 21189114.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353659 + ... + 354821.

It is an arithmetic number, because the mean of its divisors is an integer number (6652260).

Almost surely, 2^411981120 is an apocalyptic number.

411981120 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 411981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745053120).

411981120 is an abundant number, since it is smaller than the sum of its proper divisors (1078125120).

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

411981120 is a wasteful number, since it uses less digits than its factorization.

411981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 411981120 is about 20297.3180494370. The cubic root of 411981120 is about 744.0905196836.

The spelling of 411981120 in words is "four hundred eleven million, nine hundred eighty-one thousand, one hundred twenty".