140435120000 has 160 divisors (see below), whose sum is σ = 399549540720. Its totient is φ = 48148992000.

The previous prime is 140435119969. The next prime is 140435120003. The reversal of 140435120000 is 21534041.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140435120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 434612 + ... + 685388.

Almost surely, 2^140435120000 is an apocalyptic number.

140435120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140435120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199774770360).

140435120000 is an abundant number, since it is smaller than the sum of its proper divisors (259114420720).

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

140435120000 is an frugal number, since it uses more digits than its factorization.

140435120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250818 (or 250791 counting only the distinct ones).

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

Adding to 140435120000 its reverse (21534041), we get a palindrome (140456654041).

The spelling of 140435120000 in words is "one hundred forty billion, four hundred thirty-five million, one hundred twenty thousand".