32134242240 has 336 divisors, whose sum is σ = 116095150080. Its totient is φ = 8459043840.

The previous prime is 32134242187. The next prime is 32134242253. The reversal of 32134242240 is 4224243123.

32134242240 is a `hidden beast` number, since 3 + 2 + 13 + 424 + 224 + 0 = 666.

It is a super-3 number, since 3×32134242240³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6140425 + ... + 6145655.

It is an arithmetic number, because the mean of its divisors is an integer number (345521280).

Almost surely, 2^32134242240 is an apocalyptic number.

32134242240 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 32134242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58047575040).

32134242240 is an abundant number, since it is smaller than the sum of its proper divisors (83960907840).

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

32134242240 is an equidigital number, since it uses as much as digits as its factorization.

32134242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 32134242240 its reverse (4224243123), we get a palindrome (36358485363).

The spelling of 32134242240 in words is "thirty-two billion, one hundred thirty-four million, two hundred forty-two thousand, two hundred forty".