35250411441440 has 384 divisors, whose sum is σ = 91924478553600. Its totient is φ = 12695814144000.

The previous prime is 35250411441439. The next prime is 35250411441503. The reversal of 35250411441440 is 4414411405253.

It is a junction number, because it is equal to n+sod(n) for n = 35250411441394 and 35250411441403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3938148965 + ... + 3938157915.

It is an arithmetic number, because the mean of its divisors is an integer number (239386662900).

Almost surely, 2^{35250411441440} 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 35250411441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45962239276800).

35250411441440 is an abundant number, since it is smaller than the sum of its proper divisors (56674067112160).

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

35250411441440 is a wasteful number, since it uses less digits than its factorization.

35250411441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9356 (or 9348 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

Adding to 35250411441440 its reverse (4414411405253), we get a palindrome (39664822846693).

The spelling of 35250411441440 in words is "thirty-five trillion, two hundred fifty billion, four hundred eleven million, four hundred forty-one thousand, four hundred forty".