32142438720 has 672 divisors, whose sum is σ = 133056758016. Its totient is φ = 6967296000.

The previous prime is 32142438709. The next prime is 32142438721. The reversal of 32142438720 is 2783424123.

It is a happy number.

32142438720 is a `hidden beast` number, since 3 + 214 + 2 + 438 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32142438721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30582195 + ... + 30583245.

It is an arithmetic number, because the mean of its divisors is an integer number (198001128).

Almost surely, 2^32142438720 is an apocalyptic number.

32142438720 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 32142438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528379008).

32142438720 is an abundant number, since it is smaller than the sum of its proper divisors (100914319296).

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

32142438720 is a wasteful number, since it uses less digits than its factorization.

32142438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 32142438720 in words is "thirty-two billion, one hundred forty-two million, four hundred thirty-eight thousand, seven hundred twenty".