140204112986112 has 1440 divisors, whose sum is σ = 466039221580800. Its totient is φ = 37309133094912.

The previous prime is 140204112986089. The next prime is 140204112986209. The reversal of 140204112986112 is 211689211402041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 586628087689 + ... + 586628087927.

It is an arithmetic number, because the mean of its divisors is an integer number (323638348320).

Almost surely, 2^{140204112986112} is an apocalyptic number.

140204112986112 is a gapful number since it is divisible by the number (12) 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 140204112986112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233019610790400).

140204112986112 is an abundant number, since it is smaller than the sum of its proper divisors (325835108594688).

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

140204112986112 is a wasteful number, since it uses less digits than its factorization.

140204112986112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 140204112986112 in words is "one hundred forty trillion, two hundred four billion, one hundred twelve million, nine hundred eighty-six thousand, one hundred twelve".