140020020013140 has 144 divisors (see below), whose sum is σ = 436359038628240. Its totient is φ = 36316815575040.

The previous prime is 140020020013129. The next prime is 140020020013163. The reversal of 140020020013140 is 41310020020041.

140020020013140 is a `hidden beast` number, since 1 + 400 + 20 + 0 + 200 + 1 + 3 + 1 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1442578753476 + 138577441259664 = 1201074^2 + 11771892^2 .

It is a super-2 number, since 2×140020020013140² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15380016 + ... + 22728504.

It is an arithmetic number, because the mean of its divisors is an integer number (3030271101585).

Almost surely, 2^{140020020013140} is an apocalyptic number.

140020020013140 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 140020020013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218179519314120).

140020020013140 is an abundant number, since it is smaller than the sum of its proper divisors (296339018615100).

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

140020020013140 is a wasteful number, since it uses less digits than its factorization.

140020020013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7351402 (or 7351397 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 140020020013140 its reverse (41310020020041), we get a palindrome (181330040033181).

The spelling of 140020020013140 in words is "one hundred forty trillion, twenty billion, twenty million, thirteen thousand, one hundred forty".