140414441320020 has 192 divisors, whose sum is σ = 460386873225216. Its totient is φ = 31305027425280.

The previous prime is 140414441319953. The next prime is 140414441320039. The reversal of 140414441320020 is 20023144414041.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 140414441320020.

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, 77402689 + ... + 79195991.

It is an arithmetic number, because the mean of its divisors is an integer number (2397848298048).

Almost surely, 2^{140414441320020} is an apocalyptic number.

140414441320020 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 140414441320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230193436612608).

140414441320020 is an abundant number, since it is smaller than the sum of its proper divisors (319972431905196).

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

140414441320020 is a wasteful number, since it uses less digits than its factorization.

140414441320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797910 (or 1797908 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 140414441320020 its reverse (20023144414041), we get a palindrome (160437585734061).

The spelling of 140414441320020 in words is "one hundred forty trillion, four hundred fourteen billion, four hundred forty-one million, three hundred twenty thousand, twenty".