140323431200000 has 216 divisors, whose sum is σ = 350638444875096. Its totient is φ = 56043207680000.

The previous prime is 140323431199999. The next prime is 140323431200009. The reversal of 140323431200000 is 2134323041.

140323431200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 131268531733504 + 9054899466496 = 11457248^2 + 3009136^2 .

It is a super-2 number, since 2×140323431200000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140323431200009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522265694 + ... + 522534306.

It is an arithmetic number, because the mean of its divisors is an integer number (1623326133681).

Almost surely, 2^{140323431200000} is an apocalyptic number.

140323431200000 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 140323431200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175319222437548).

140323431200000 is an abundant number, since it is smaller than the sum of its proper divisors (210315013675096).

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

140323431200000 is an frugal number, since it uses more digits than its factorization.

140323431200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269307 (or 269273 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 140323431200000 its reverse (2134323041), we get a palindrome (140325565523041).

The spelling of 140323431200000 in words is "one hundred forty trillion, three hundred twenty-three billion, four hundred thirty-one million, two hundred thousand".