35441012000 has 96 divisors (see below), whose sum is σ = 87306251760. Its totient is φ = 14139340800.

The previous prime is 35441011979. The next prime is 35441012003. The reversal of 35441012000 is 21014453.

It can be written as a sum of positive squares in 8 ways, for example, as 2591624464 + 32849387536 = 50908^2 + 181244^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (35441012003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1544612 + ... + 1567388.

Almost surely, 2^35441012000 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 35441012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43653125880).

35441012000 is an abundant number, since it is smaller than the sum of its proper divisors (51865239760).

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

35441012000 is a wasteful number, since it uses less digits than its factorization.

35441012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23191 (or 23173 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 35441012000 its reverse (21014453), we get a palindrome (35462026453).

The spelling of 35441012000 in words is "thirty-five billion, four hundred forty-one million, twelve thousand".