32504142240 has 96 divisors (see below), whose sum is σ = 113764512960. Its totient is φ = 8667770112.

The previous prime is 32504142211. The next prime is 32504142263. The reversal of 32504142240 is 4224140523.

32504142240 is a `hidden beast` number, since 3 + 2 + 5 + 0 + 414 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 3757734 + ... + 3766373.

It is an arithmetic number, because the mean of its divisors is an integer number (1185047010).

Almost surely, 2^32504142240 is an apocalyptic number.

32504142240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32504142240 is an abundant number, since it is smaller than the sum of its proper divisors (81260370720).

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

32504142240 is a wasteful number, since it uses less digits than its factorization.

32504142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7524131 (or 7524117 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 32504142240 its reverse (4224140523), we get a palindrome (36728282763).

The spelling of 32504142240 in words is "thirty-two billion, five hundred four million, one hundred forty-two thousand, two hundred forty".