414221040 has 200 divisors, whose sum is σ = 1455688080. Its totient is φ = 109154304.

The previous prime is 414220999. The next prime is 414221069. The reversal of 414221040 is 40122414.

414221040 is a `hidden beast` number, since 414 + 2 + 210 + 40 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 628231 + ... + 628889.

Almost surely, 2^414221040 is an apocalyptic number.

414221040 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 414221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727844040).

414221040 is an abundant number, since it is smaller than the sum of its proper divisors (1041467040).

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

414221040 is a wasteful number, since it uses less digits than its factorization.

414221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 414221040 is about 20352.4209862119. The cubic root of 414221040 is about 745.4366102800.

Adding to 414221040 its reverse (40122414), we get a palindrome (454343454).

The spelling of 414221040 in words is "four hundred fourteen million, two hundred twenty-one thousand, forty".