411161940 has 288 divisors, whose sum is σ = 1528329600. Its totient is φ = 91445760.

The previous prime is 411161929. The next prime is 411161941. The reversal of 411161940 is 49161114.

411161940 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 619 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411161941) 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, 1084671 + ... + 1085049.

It is an arithmetic number, because the mean of its divisors is an integer number (5306700).

Almost surely, 2^411161940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411161940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764164800).

411161940 is an abundant number, since it is smaller than the sum of its proper divisors (1117167660).

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

411161940 is a wasteful number, since it uses less digits than its factorization.

411161940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 411161940 is about 20277.1284949324. The cubic root of 411161940 is about 743.5970112084.

The spelling of 411161940 in words is "four hundred eleven million, one hundred sixty-one thousand, nine hundred forty".