411215040 has 336 divisors, whose sum is σ = 1544860512. Its totient is φ = 99975168.

The previous prime is 411215033. The next prime is 411215053. The reversal of 411215040 is 40512114.

411215040 is a `hidden beast` number, since 41 + 121 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1811407 + ... + 1811633.

Almost surely, 2^411215040 is an apocalyptic number.

411215040 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 411215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772430256).

411215040 is an abundant number, since it is smaller than the sum of its proper divisors (1133645472).

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

411215040 is a wasteful number, since it uses less digits than its factorization.

411215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 411215040 is about 20278.4378096539. The cubic root of 411215040 is about 743.6290207386.

Adding to 411215040 its reverse (40512114), we get a palindrome (451727154).

The spelling of 411215040 in words is "four hundred eleven million, two hundred fifteen thousand, forty".