140213324000020 has 192 divisors, whose sum is σ = 313071409889280. Its totient is φ = 52599554122752.

The previous prime is 140213323999997. The next prime is 140213324000047. The reversal of 140213324000020 is 20000423312041.

It is a junction number, because it is equal to n+sod(n) for n = 140213323999955 and 140213324000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70352896144 + ... + 70352898136.

It is an arithmetic number, because the mean of its divisors is an integer number (1630580259840).

Almost surely, 2^{140213324000020} is an apocalyptic number.

140213324000020 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 140213324000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156535704944640).

140213324000020 is an abundant number, since it is smaller than the sum of its proper divisors (172858085889260).

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

140213324000020 is a wasteful number, since it uses less digits than its factorization.

140213324000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 140213324000020 its reverse (20000423312041), we get a palindrome (160213747312061).

The spelling of 140213324000020 in words is "one hundred forty trillion, two hundred thirteen billion, three hundred twenty-four million, twenty", and thus it is an aban number.