140105033314140 has 192 divisors, whose sum is σ = 401860221235200. Its totient is φ = 36455159270400.

The previous prime is 140105033314123. The next prime is 140105033314163. The reversal of 140105033314140 is 41413330501041.

140105033314140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 140105033314098 and 140105033314107.

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, 8289739690 + ... + 8289756590.

It is an arithmetic number, because the mean of its divisors is an integer number (2093021985600).

Almost surely, 2^{140105033314140} is an apocalyptic number.

140105033314140 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 140105033314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200930110617600).

140105033314140 is an abundant number, since it is smaller than the sum of its proper divisors (261755187921060).

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

140105033314140 is a wasteful number, since it uses less digits than its factorization.

140105033314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25732 (or 25730 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 140105033314140 its reverse (41413330501041), we get a palindrome (181518363815181).

The spelling of 140105033314140 in words is "one hundred forty trillion, one hundred five billion, thirty-three million, three hundred fourteen thousand, one hundred forty".