32440410000 has 600 divisors, whose sum is σ = 121767771840. Its totient is φ = 8035200000.

The previous prime is 32440409957. The next prime is 32440410017. The reversal of 32440410000 is 1404423.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 104309845 + ... + 104310155.

Almost surely, 2^32440410000 is an apocalyptic number.

32440410000 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 32440410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60883885920).

32440410000 is an abundant number, since it is smaller than the sum of its proper divisors (89327361840).

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

32440410000 is a wasteful number, since it uses less digits than its factorization.

32440410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 32440410000 its reverse (1404423), we get a palindrome (32441814423).

The spelling of 32440410000 in words is "thirty-two billion, four hundred forty million, four hundred ten thousand".