432304000332440 has 128 divisors (see below), whose sum is σ = 1047783680697600. Its totient is φ = 159996226199040.

The previous prime is 432304000332437. The next prime is 432304000332509. The reversal of 432304000332440 is 44233000403234.

It is a junction number, because it is equal to n+sod(n) for n = 432304000332397 and 432304000332406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364476194 + ... + 365660366.

It is an arithmetic number, because the mean of its divisors is an integer number (8185810005450).

Almost surely, 2^{432304000332440} is an apocalyptic number.

432304000332440 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 432304000332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523891840348800).

432304000332440 is an abundant number, since it is smaller than the sum of its proper divisors (615479680365160).

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

432304000332440 is a wasteful number, since it uses less digits than its factorization.

432304000332440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195417 (or 1195413 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 432304000332440 its reverse (44233000403234), we get a palindrome (476537000735674).

The spelling of 432304000332440 in words is "four hundred thirty-two trillion, three hundred four billion, three hundred thirty-two thousand, four hundred forty".