140012241010020 has 432 divisors, whose sum is σ = 463683308856768. Its totient is φ = 34171783188480.

The previous prime is 140012241009989. The next prime is 140012241010027. The reversal of 140012241010020 is 20010142210041.

140012241010020 is a `hidden beast` number, since 1 + 400 + 1 + 2 + 241 + 0 + 1 + 0 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 140012241009975 and 140012241010002.

It is not an unprimeable number, because it can be changed into a prime (140012241010027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 507629350 + ... + 507905090.

It is an arithmetic number, because the mean of its divisors is an integer number (1073340992724).

Almost surely, 2^{140012241010020} is an apocalyptic number.

140012241010020 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 140012241010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231841654428384).

140012241010020 is an abundant number, since it is smaller than the sum of its proper divisors (323671067846748).

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

140012241010020 is a wasteful number, since it uses less digits than its factorization.

140012241010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276060 (or 276038 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 140012241010020 its reverse (20010142210041), we get a palindrome (160022383220061).

The spelling of 140012241010020 in words is "one hundred forty trillion, twelve billion, two hundred forty-one million, ten thousand, twenty".