32401024000 has 88 divisors (see below), whose sum is σ = 80833786488. Its totient is φ = 12960358400.

The previous prime is 32401023997. The next prime is 32401024049. The reversal of 32401024000 is 42010423.

It can be written as a sum of positive squares in 4 ways, for example, as 608707584 + 31792316416 = 24672^2 + 178304^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1434 + ... + 254566.

Almost surely, 2^32401024000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32401024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40416893244).

32401024000 is an abundant number, since it is smaller than the sum of its proper divisors (48432762488).

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

32401024000 is an equidigital number, since it uses as much as digits as its factorization.

32401024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253168 (or 253140 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 32401024000 its reverse (42010423), we get a palindrome (32443034423).

It can be divided in two parts, 3240 and 1024000, that multiplied together give a 4-th power (3317760000 = 240⁴).

The spelling of 32401024000 in words is "thirty-two billion, four hundred one million, twenty-four thousand".