140434011200 has 168 divisors, whose sum is σ = 395283366912. Its totient is φ = 48104570880.

The previous prime is 140434011163. The next prime is 140434011203. The reversal of 140434011200 is 2110434041.

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 (140434011203) 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 23 ways as a sum of consecutive naturals, for example, 13625249 + ... + 13635551.

It is an arithmetic number, because the mean of its divisors is an integer number (2352877184).

Almost surely, 2^140434011200 is an apocalyptic number.

140434011200 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 140434011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197641683456).

140434011200 is an abundant number, since it is smaller than the sum of its proper divisors (254849355712).

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

140434011200 is a wasteful number, since it uses less digits than its factorization.

140434011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11549 (or 11534 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 140434011200 its reverse (2110434041), we get a palindrome (142544445241).

The spelling of 140434011200 in words is "one hundred forty billion, four hundred thirty-four million, eleven thousand, two hundred".