32480434140 has 576 divisors, whose sum is σ = 120464547840. Its totient is φ = 6391756800.

The previous prime is 32480434099. The next prime is 32480434187. The reversal of 32480434140 is 4143408423.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83497066 + ... + 83497454.

It is an arithmetic number, because the mean of its divisors is an integer number (209139840).

Almost surely, 2^32480434140 is an apocalyptic number.

32480434140 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 32480434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60232273920).

32480434140 is an abundant number, since it is smaller than the sum of its proper divisors (87984113700).

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

32480434140 is a wasteful number, since it uses less digits than its factorization.

32480434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 32480434140 in words is "thirty-two billion, four hundred eighty million, four hundred thirty-four thousand, one hundred forty".