32424144960 has 448 divisors, whose sum is σ = 110374078464. Its totient is φ = 8051097600.

The previous prime is 32424144947. The next prime is 32424145001. The reversal of 32424144960 is 6944142423.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96213912 + ... + 96214248.

Almost surely, 2^32424144960 is an apocalyptic number.

32424144960 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 32424144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55187039232).

32424144960 is an abundant number, since it is smaller than the sum of its proper divisors (77949933504).

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

32424144960 is a wasteful number, since it uses less digits than its factorization.

32424144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 32424144960 in words is "thirty-two billion, four hundred twenty-four million, one hundred forty-four thousand, nine hundred sixty".