432041040 has 200 divisors, whose sum is σ = 1526536968. Its totient is φ = 113218560.

The previous prime is 432041033. The next prime is 432041089. The reversal of 432041040 is 40140234.

It can be written as a sum of positive squares in 4 ways, for example, as 51322896 + 380718144 = 7164^2 + 19512^2 .

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, 394734 + ... + 395826.

Almost surely, 2^432041040 is an apocalyptic number.

432041040 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 432041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763268484).

432041040 is an abundant number, since it is smaller than the sum of its proper divisors (1094495928).

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

432041040 is a wasteful number, since it uses less digits than its factorization.

432041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 432041040 is about 20785.5969363403. The cubic root of 432041040 is about 755.9765676789.

Adding to 432041040 its reverse (40140234), we get a palindrome (472181274).

It can be divided in two parts, 43204 and 1040, that added together give a palindrome (44244).

The spelling of 432041040 in words is "four hundred thirty-two million, forty-one thousand, forty".