32144400000 has 288 divisors, whose sum is σ = 115629122700. Its totient is φ = 8570880000.

The previous prime is 32144399993. The next prime is 32144400017. The reversal of 32144400000 is 444123.

It can be written as a sum of positive squares in 6 ways, for example, as 11773118016 + 20371281984 = 108504^2 + 142728^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3595536 + ... + 3604464.

Almost surely, 2^32144400000 is an apocalyptic number.

32144400000 is a gapful number since it is divisible by the number (30) 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 32144400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57814561350).

32144400000 is an abundant number, since it is smaller than the sum of its proper divisors (83484722700).

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

32144400000 is an frugal number, since it uses more digits than its factorization.

32144400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8974 (or 8939 counting only the distinct ones).

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

Adding to 32144400000 its reverse (444123), we get a palindrome (32144844123).

The spelling of 32144400000 in words is "thirty-two billion, one hundred forty-four million, four hundred thousand".