32144020430144 has 112 divisors (see below), whose sum is σ = 73489416818688. Its totient is φ = 13664305041408.

The previous prime is 32144020430131. The next prime is 32144020430237. The reversal of 32144020430144 is 44103402044123.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 32144020430144.

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 15 ways as a sum of consecutive naturals, for example, 248741612 + ... + 248870804.

Almost surely, 2^{32144020430144} 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 32144020430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36744708409344).

32144020430144 is an abundant number, since it is smaller than the sum of its proper divisors (41345396388544).

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

32144020430144 is a wasteful number, since it uses less digits than its factorization.

32144020430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133712 (or 133702 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 32144020430144 its reverse (44103402044123), we get a palindrome (76247422474267).

The spelling of 32144020430144 in words is "thirty-two trillion, one hundred forty-four billion, twenty million, four hundred thirty thousand, one hundred forty-four".