432822044144 has 160 divisors (see below), whose sum is σ = 997269504000. Its totient is φ = 178073199360.

The previous prime is 432822044111. The next prime is 432822044177. The reversal of 432822044144 is 441440228234.

It is an interprime number because it is at equal distance from previous prime (432822044111) and next prime (432822044177).

It is a junction number, because it is equal to n+sod(n) for n = 432822044098 and 432822044107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254750207 + ... + 254751905.

It is an arithmetic number, because the mean of its divisors is an integer number (6232934400).

Almost surely, 2^432822044144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432822044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498634752000).

432822044144 is an abundant number, since it is smaller than the sum of its proper divisors (564447459856).

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

432822044144 is a wasteful number, since it uses less digits than its factorization.

432822044144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 38.

The spelling of 432822044144 in words is "four hundred thirty-two billion, eight hundred twenty-two million, forty-four thousand, one hundred forty-four".