421133440 has 192 divisors, whose sum is σ = 1262451960. Its totient is φ = 133152768.

The previous prime is 421133431. The next prime is 421133441. The reversal of 421133440 is 44331124.

It can be written as a sum of positive squares in 4 ways, for example, as 368947264 + 52186176 = 19208^2 + 7224^2 .

It is not an unprimeable number, because it can be changed into a prime (421133441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407164 + ... + 408196.

Almost surely, 2^421133440 is an apocalyptic number.

421133440 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 421133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631225980).

421133440 is an abundant number, since it is smaller than the sum of its proper divisors (841318520).

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

421133440 is a wasteful number, since it uses less digits than its factorization.

421133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 421133440 is about 20521.5360048901. The cubic root of 421133440 is about 749.5602993051.

Adding to 421133440 its reverse (44331124), we get a palindrome (465464564).

The spelling of 421133440 in words is "four hundred twenty-one million, one hundred thirty-three thousand, four hundred forty".