432402133404240 has 240 divisors, whose sum is σ = 1467829284966720. Its totient is φ = 114068945387520.

The previous prime is 432402133404223. The next prime is 432402133404341. The reversal of 432402133404240 is 42404331204234.

432402133404240 is a `hidden beast` number, since 4 + 3 + 2 + 4 + 0 + 2 + 1 + 3 + 3 + 404 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 432402133404195 and 432402133404204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16181935 + ... + 33565745.

It is an arithmetic number, because the mean of its divisors is an integer number (6115955354028).

Almost surely, 2^{432402133404240} is an apocalyptic number.

432402133404240 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 432402133404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733914642483360).

432402133404240 is an abundant number, since it is smaller than the sum of its proper divisors (1035427151562480).

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

432402133404240 is a wasteful number, since it uses less digits than its factorization.

432402133404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17384202 (or 17384193 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 432402133404240 its reverse (42404331204234), we get a palindrome (474806464608474).

The spelling of 432402133404240 in words is "four hundred thirty-two trillion, four hundred two billion, one hundred thirty-three million, four hundred four thousand, two hundred forty".