352030001440 has 144 divisors (see below), whose sum is σ = 901991052648. Its totient is φ = 129774747648.

The previous prime is 352030001429. The next prime is 352030001441. The reversal of 352030001440 is 44100030253.

It can be written as a sum of positive squares in 12 ways, for example, as 49780749456 + 302249251984 = 223116^2 + 549772^2 .

It is not an unprimeable number, because it can be changed into a prime (352030001441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17647152 + ... + 17667088.

Almost surely, 2^352030001440 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 352030001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450995526324).

352030001440 is an abundant number, since it is smaller than the sum of its proper divisors (549961051208).

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

352030001440 is a wasteful number, since it uses less digits than its factorization.

352030001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20631 (or 20610 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 352030001440 its reverse (44100030253), we get a palindrome (396130031693).

The spelling of 352030001440 in words is "three hundred fifty-two billion, thirty million, one thousand, four hundred forty".