32014400000000 has 936 divisors, whose sum is σ = 93300561605088. Its totient is φ = 10854400000000.

The previous prime is 32014399999997. The next prime is 32014400000029. The reversal of 32014400000000 is 441023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 299199999947 + ... + 299200000053.

Almost surely, 2^{32014400000000} 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 32014400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46650280802544).

32014400000000 is an abundant number, since it is smaller than the sum of its proper divisors (61286161605088).

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

32014400000000 is an frugal number, since it uses more digits than its factorization.

32014400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 32014400000000 its reverse (441023), we get a palindrome (32014400441023).

The spelling of 32014400000000 in words is "thirty-two trillion, fourteen billion, four hundred million", and thus it is an aban number.