35445440000 has 200 divisors, whose sum is σ = 89049220128. Its totient is φ = 14090240000.

The previous prime is 35445439999. The next prime is 35445440003. The reversal of 35445440000 is 4454453.

It is a tau number, because it is divible by the number of its divisors (200).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35445440003) 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 19 ways as a sum of consecutive naturals, for example, 82239785 + ... + 82240215.

Almost surely, 2^35445440000 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 35445440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44524610064).

35445440000 is an abundant number, since it is smaller than the sum of its proper divisors (53603780128).

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

35445440000 is an frugal number, since it uses more digits than its factorization.

35445440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

Adding to 35445440000 its reverse (4454453), we get a palindrome (35449894453).

The spelling of 35445440000 in words is "thirty-five billion, four hundred forty-five million, four hundred forty thousand".